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Finding the Fourth Proportional to 252,005.97, 378,082.80 and 74,517.60

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Solution

The fourth proportional to 252,005.97, 378,082.80 and 74,517.60 is: 111,798.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,005.97 : 378,082.80 = 74,517.60 : x
  2. Step 2: Convert to fraction form
    252,005.97/378,082.80 = 74,517.60/x
  3. Step 3: Cross multiply
    252,005.97x = 378,082.80 × 74,517.60
  4. Step 4: Simplify right side
    252,005.97x = 28,173,822,857.28
  5. Step 5: Solve for x
    x = 28,173,822,857.28/252,005.97
  6. Step 6: Final answer
    x = 111,798.24

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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.