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Finding the Fourth Proportional to 78,171.32, 117,213.24 and 25,566.68

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Solution

The fourth proportional to 78,171.32, 117,213.24 and 25,566.68 is: 38,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171.32 : 117,213.24 = 25,566.68 : x
  2. Step 2: Convert to fraction form
    78,171.32/117,213.24 = 25,566.68/x
  3. Step 3: Cross multiply
    78,171.32x = 117,213.24 × 25,566.68
  4. Step 4: Simplify right side
    78,171.32x = 2,996,753,398.84
  5. Step 5: Solve for x
    x = 2,996,753,398.84/78,171.32
  6. Step 6: Final answer
    x = 38,335.71

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1.5x scale

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.