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Finding the Fourth Proportional to 132,209.90, 197,876.29 and 120,390.98

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Solution

The fourth proportional to 132,209.90, 197,876.29 and 120,390.98 is: 180,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,209.90 : 197,876.29 = 120,390.98 : x
  2. Step 2: Convert to fraction form
    132,209.90/197,876.29 = 120,390.98/x
  3. Step 3: Cross multiply
    132,209.90x = 197,876.29 × 120,390.98
  4. Step 4: Simplify right side
    132,209.90x = 23,822,519,869.91
  5. Step 5: Solve for x
    x = 23,822,519,869.91/132,209.90
  6. Step 6: Final answer
    x = 180,187.12

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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.