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Finding the Fourth Proportional to 261,806.85, 392,732.79 and 72,267.24

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Solution

The fourth proportional to 261,806.85, 392,732.79 and 72,267.24 is: 108,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,806.85 : 392,732.79 = 72,267.24 : x
  2. Step 2: Convert to fraction form
    261,806.85/392,732.79 = 72,267.24/x
  3. Step 3: Cross multiply
    261,806.85x = 392,732.79 × 72,267.24
  4. Step 4: Simplify right side
    261,806.85x = 28,381,714,790.80
  5. Step 5: Solve for x
    x = 28,381,714,790.80/261,806.85
  6. Step 6: Final answer
    x = 108,407.07

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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.