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Finding the Fourth Proportional to 261,767.92, 392,602.17 and 72,181.42

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Solution

The fourth proportional to 261,767.92, 392,602.17 and 72,181.42 is: 108,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,767.92 : 392,602.17 = 72,181.42 : x
  2. Step 2: Convert to fraction form
    261,767.92/392,602.17 = 72,181.42/x
  3. Step 3: Cross multiply
    261,767.92x = 392,602.17 × 72,181.42
  4. Step 4: Simplify right side
    261,767.92x = 28,338,582,125.68
  5. Step 5: Solve for x
    x = 28,338,582,125.68/261,767.92
  6. Step 6: Final answer
    x = 108,258.42

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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.