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Finding the Fourth Proportional to 83,542.29, 115,294.47 and 47,731.53

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Solution

The fourth proportional to 83,542.29, 115,294.47 and 47,731.53 is: 65,873.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.29 : 115,294.47 = 47,731.53 : x
  2. Step 2: Convert to fraction form
    83,542.29/115,294.47 = 47,731.53/x
  3. Step 3: Cross multiply
    83,542.29x = 115,294.47 × 47,731.53
  4. Step 4: Simplify right side
    83,542.29x = 5,503,181,453.64
  5. Step 5: Solve for x
    x = 5,503,181,453.64/83,542.29
  6. Step 6: Final answer
    x = 65,873.00

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