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Finding the Fourth Proportional to 261,897.57, 392,820.84 and 84,531.87

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Solution

The fourth proportional to 261,897.57, 392,820.84 and 84,531.87 is: 126,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,897.57 : 392,820.84 = 84,531.87 : x
  2. Step 2: Convert to fraction form
    261,897.57/392,820.84 = 84,531.87/x
  3. Step 3: Cross multiply
    261,897.57x = 392,820.84 × 84,531.87
  4. Step 4: Simplify right side
    261,897.57x = 33,205,880,180.17
  5. Step 5: Solve for x
    x = 33,205,880,180.17/261,897.57
  6. Step 6: Final answer
    x = 126,789.57

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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.