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Finding the Fourth Proportional to 261,403.97, 392,109.83 and 101,489.17

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Solution

The fourth proportional to 261,403.97, 392,109.83 and 101,489.17 is: 152,235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,403.97 : 392,109.83 = 101,489.17 : x
  2. Step 2: Convert to fraction form
    261,403.97/392,109.83 = 101,489.17/x
  3. Step 3: Cross multiply
    261,403.97x = 392,109.83 × 101,489.17
  4. Step 4: Simplify right side
    261,403.97x = 39,794,900,468.99
  5. Step 5: Solve for x
    x = 39,794,900,468.99/261,403.97
  6. Step 6: Final answer
    x = 152,235.26

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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.