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Finding the Fourth Proportional to 78,499.81, 108,331.77 and 42,691.90

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Solution

The fourth proportional to 78,499.81, 108,331.77 and 42,691.90 is: 58,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,499.81 : 108,331.77 = 42,691.90 : x
  2. Step 2: Convert to fraction form
    78,499.81/108,331.77 = 42,691.90/x
  3. Step 3: Cross multiply
    78,499.81x = 108,331.77 × 42,691.90
  4. Step 4: Simplify right side
    78,499.81x = 4,624,889,091.66
  5. Step 5: Solve for x
    x = 4,624,889,091.66/78,499.81
  6. Step 6: Final answer
    x = 58,915.93

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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.