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Finding the Fourth Proportional to 178,540.65, 267,832.98 and 78,725.97

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Solution

The fourth proportional to 178,540.65, 267,832.98 and 78,725.97 is: 118,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,540.65 : 267,832.98 = 78,725.97 : x
  2. Step 2: Convert to fraction form
    178,540.65/267,832.98 = 78,725.97/x
  3. Step 3: Cross multiply
    178,540.65x = 267,832.98 × 78,725.97
  4. Step 4: Simplify right side
    178,540.65x = 21,085,411,148.49
  5. Step 5: Solve for x
    x = 21,085,411,148.49/178,540.65
  6. Step 6: Final answer
    x = 118,098.66

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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.