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Finding the Fourth Proportional to 261,640.80, 392,461.20 and 72,100.80

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Solution

The fourth proportional to 261,640.80, 392,461.20 and 72,100.80 is: 108,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,640.80 : 392,461.20 = 72,100.80 : x
  2. Step 2: Convert to fraction form
    261,640.80/392,461.20 = 72,100.80/x
  3. Step 3: Cross multiply
    261,640.80x = 392,461.20 × 72,100.80
  4. Step 4: Simplify right side
    261,640.80x = 28,296,766,488.96
  5. Step 5: Solve for x
    x = 28,296,766,488.96/261,640.80
  6. Step 6: Final answer
    x = 108,151.20

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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.