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Finding the Fourth Proportional to 261,806.97, 392,702.63 and 72,278.91

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Solution

The fourth proportional to 261,806.97, 392,702.63 and 72,278.91 is: 108,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806.97 : 392,702.63 = 72,278.91 : x
  2. Step 2: Convert to fraction form
    261,806.97/392,702.63 = 72,278.91/x
  3. Step 3: Cross multiply
    261,806.97x = 392,702.63 × 72,278.91
  4. Step 4: Simplify right side
    261,806.97x = 28,384,117,296.16
  5. Step 5: Solve for x
    x = 28,384,117,296.16/261,806.97
  6. Step 6: Final answer
    x = 108,416.20

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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.