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Finding the Fourth Proportional to 178,542.93, 267,815.90 and 45,423.30

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Solution

The fourth proportional to 178,542.93, 267,815.90 and 45,423.30 is: 68,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542.93 : 267,815.90 = 45,423.30 : x
  2. Step 2: Convert to fraction form
    178,542.93/267,815.90 = 45,423.30/x
  3. Step 3: Cross multiply
    178,542.93x = 267,815.90 × 45,423.30
  4. Step 4: Simplify right side
    178,542.93x = 12,165,081,970.47
  5. Step 5: Solve for x
    x = 12,165,081,970.47/178,542.93
  6. Step 6: Final answer
    x = 68,135.33

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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.