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Finding the Fourth Proportional to 132,101,999.70, 198,152,999.55 and 120,197,721.30

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Solution

The fourth proportional to 132,101,999.70, 198,152,999.55 and 120,197,721.30 is: 180,296,581.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,101,999.70 : 198,152,999.55 = 120,197,721.30 : x
  2. Step 2: Convert to fraction form
    132,101,999.70/198,152,999.55 = 120,197,721.30/x
  3. Step 3: Cross multiply
    132,101,999.70x = 198,152,999.55 × 120,197,721.30
  4. Step 4: Simplify right side
    132,101,999.70x = 23,817,539,014,669,928
  5. Step 5: Solve for x
    x = 23,817,539,014,669,928/132,101,999.70
  6. Step 6: Final answer
    x = 180,296,581.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.