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Finding the Fourth Proportional to 87,876, 121,278.42 and 57,685.68

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Solution

The fourth proportional to 87,876, 121,278.42 and 57,685.68 is: 79,612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,876 : 121,278.42 = 57,685.68 : x
  2. Step 2: Convert to fraction form
    87,876/121,278.42 = 57,685.68/x
  3. Step 3: Cross multiply
    87,876x = 121,278.42 × 57,685.68
  4. Step 4: Simplify right side
    87,876x = 6,996,028,127.03
  5. Step 5: Solve for x
    x = 6,996,028,127.03/87,876
  6. Step 6: Final answer
    x = 79,612.50

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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.