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Finding the Fourth Proportional to 101,474, 140,034.12 and 56,762

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Solution

The fourth proportional to 101,474, 140,034.12 and 56,762 is: 78,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,474 : 140,034.12 = 56,762 : x
  2. Step 2: Convert to fraction form
    101,474/140,034.12 = 56,762/x
  3. Step 3: Cross multiply
    101,474x = 140,034.12 × 56,762
  4. Step 4: Simplify right side
    101,474x = 7,948,616,719.44
  5. Step 5: Solve for x
    x = 7,948,616,719.44/101,474
  6. Step 6: Final answer
    x = 78,331.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.