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Finding the Fourth Proportional to 261,420.62, 392,013.57 and 74,387.66

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Solution

The fourth proportional to 261,420.62, 392,013.57 and 74,387.66 is: 111,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,420.62 : 392,013.57 = 74,387.66 : x
  2. Step 2: Convert to fraction form
    261,420.62/392,013.57 = 74,387.66/x
  3. Step 3: Cross multiply
    261,420.62x = 392,013.57 × 74,387.66
  4. Step 4: Simplify right side
    261,420.62x = 29,160,972,160.55
  5. Step 5: Solve for x
    x = 29,160,972,160.55/261,420.62
  6. Step 6: Final answer
    x = 111,548.10

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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.