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Finding the Fourth Proportional to 83,740.79, 115,562.76 and 45,500.64

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Solution

The fourth proportional to 83,740.79, 115,562.76 and 45,500.64 is: 62,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,740.79 : 115,562.76 = 45,500.64 : x
  2. Step 2: Convert to fraction form
    83,740.79/115,562.76 = 45,500.64/x
  3. Step 3: Cross multiply
    83,740.79x = 115,562.76 × 45,500.64
  4. Step 4: Simplify right side
    83,740.79x = 5,258,179,540.17
  5. Step 5: Solve for x
    x = 5,258,179,540.17/83,740.79
  6. Step 6: Final answer
    x = 62,791.14

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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.