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Finding the Fourth Proportional to 261,817.82, 392,718.85 and 72,289.77

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Solution

The fourth proportional to 261,817.82, 392,718.85 and 72,289.77 is: 108,432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,817.82 : 392,718.85 = 72,289.77 : x
  2. Step 2: Convert to fraction form
    261,817.82/392,718.85 = 72,289.77/x
  3. Step 3: Cross multiply
    261,817.82x = 392,718.85 × 72,289.77
  4. Step 4: Simplify right side
    261,817.82x = 28,389,553,687.74
  5. Step 5: Solve for x
    x = 28,389,553,687.74/261,817.82
  6. Step 6: Final answer
    x = 108,432.47

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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.