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Finding the Fourth Proportional to 85,915.68, 118,294.20 and 78,042.48

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Solution

The fourth proportional to 85,915.68, 118,294.20 and 78,042.48 is: 107,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,915.68 : 118,294.20 = 78,042.48 : x
  2. Step 2: Convert to fraction form
    85,915.68/118,294.20 = 78,042.48/x
  3. Step 3: Cross multiply
    85,915.68x = 118,294.20 × 78,042.48
  4. Step 4: Simplify right side
    85,915.68x = 9,231,972,737.62
  5. Step 5: Solve for x
    x = 9,231,972,737.62/85,915.68
  6. Step 6: Final answer
    x = 107,453.87

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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.