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Finding the Fourth Proportional to 72,902.70, 109,354.05 and 41,715.90

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Solution

The fourth proportional to 72,902.70, 109,354.05 and 41,715.90 is: 62,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.70 : 109,354.05 = 41,715.90 : x
  2. Step 2: Convert to fraction form
    72,902.70/109,354.05 = 41,715.90/x
  3. Step 3: Cross multiply
    72,902.70x = 109,354.05 × 41,715.90
  4. Step 4: Simplify right side
    72,902.70x = 4,561,802,614.40
  5. Step 5: Solve for x
    x = 4,561,802,614.40/72,902.70
  6. Step 6: Final answer
    x = 62,573.85

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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.