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Finding the Fourth Proportional to 238,715.83, 357,880.68 and 78,691.91

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Solution

The fourth proportional to 238,715.83, 357,880.68 and 78,691.91 is: 117,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,715.83 : 357,880.68 = 78,691.91 : x
  2. Step 2: Convert to fraction form
    238,715.83/357,880.68 = 78,691.91/x
  3. Step 3: Cross multiply
    238,715.83x = 357,880.68 × 78,691.91
  4. Step 4: Simplify right side
    238,715.83x = 28,162,312,471.90
  5. Step 5: Solve for x
    x = 28,162,312,471.90/238,715.83
  6. Step 6: Final answer
    x = 117,974.21

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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.