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Finding the Fourth Proportional to 261,815.85, 392,715.92 and 72,287.78

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Solution

The fourth proportional to 261,815.85, 392,715.92 and 72,287.78 is: 108,429.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,815.85 : 392,715.92 = 72,287.78 : x
  2. Step 2: Convert to fraction form
    261,815.85/392,715.92 = 72,287.78/x
  3. Step 3: Cross multiply
    261,815.85x = 392,715.92 × 72,287.78
  4. Step 4: Simplify right side
    261,815.85x = 28,388,559,702.44
  5. Step 5: Solve for x
    x = 28,388,559,702.44/261,815.85
  6. Step 6: Final answer
    x = 108,429.49

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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.