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Finding the Fourth Proportional to 261,418.62, 392,010.57 and 74,385.66

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Solution

The fourth proportional to 261,418.62, 392,010.57 and 74,385.66 is: 111,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,418.62 : 392,010.57 = 74,385.66 : x
  2. Step 2: Convert to fraction form
    261,418.62/392,010.57 = 74,385.66/x
  3. Step 3: Cross multiply
    261,418.62x = 392,010.57 × 74,385.66
  4. Step 4: Simplify right side
    261,418.62x = 29,159,964,976.43
  5. Step 5: Solve for x
    x = 29,159,964,976.43/261,418.62
  6. Step 6: Final answer
    x = 111,545.10

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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.