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Finding the Fourth Proportional to 78,691.81, 108,595.92 and 42,881.77

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Solution

The fourth proportional to 78,691.81, 108,595.92 and 42,881.77 is: 59,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,691.81 : 108,595.92 = 42,881.77 : x
  2. Step 2: Convert to fraction form
    78,691.81/108,595.92 = 42,881.77/x
  3. Step 3: Cross multiply
    78,691.81x = 108,595.92 × 42,881.77
  4. Step 4: Simplify right side
    78,691.81x = 4,656,785,264.38
  5. Step 5: Solve for x
    x = 4,656,785,264.38/78,691.81
  6. Step 6: Final answer
    x = 59,177.51

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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.