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Finding the Fourth Proportional to 178,340.96, 267,627.38 and 77,237.78

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Solution

The fourth proportional to 178,340.96, 267,627.38 and 77,237.78 is: 115,906.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,340.96 : 267,627.38 = 77,237.78 : x
  2. Step 2: Convert to fraction form
    178,340.96/267,627.38 = 77,237.78/x
  3. Step 3: Cross multiply
    178,340.96x = 267,627.38 × 77,237.78
  4. Step 4: Simplify right side
    178,340.96x = 20,670,944,698.42
  5. Step 5: Solve for x
    x = 20,670,944,698.42/178,340.96
  6. Step 6: Final answer
    x = 115,906.88

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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.