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Finding the Fourth Proportional to 261,731.70, 392,079.15 and 156,237.30

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Solution

The fourth proportional to 261,731.70, 392,079.15 and 156,237.30 is: 234,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731.70 : 392,079.15 = 156,237.30 : x
  2. Step 2: Convert to fraction form
    261,731.70/392,079.15 = 156,237.30/x
  3. Step 3: Cross multiply
    261,731.70x = 392,079.15 × 156,237.30
  4. Step 4: Simplify right side
    261,731.70x = 61,257,387,782.30
  5. Step 5: Solve for x
    x = 61,257,387,782.30/261,731.70
  6. Step 6: Final answer
    x = 234,046.50

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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.