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Finding the Fourth Proportional to 132,093.60, 198,225.45 and 72,971.70

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Solution

The fourth proportional to 132,093.60, 198,225.45 and 72,971.70 is: 109,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,093.60 : 198,225.45 = 72,971.70 : x
  2. Step 2: Convert to fraction form
    132,093.60/198,225.45 = 72,971.70/x
  3. Step 3: Cross multiply
    132,093.60x = 198,225.45 × 72,971.70
  4. Step 4: Simplify right side
    132,093.60x = 14,464,848,069.77
  5. Step 5: Solve for x
    x = 14,464,848,069.77/132,093.60
  6. Step 6: Final answer
    x = 109,504.53

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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.