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Finding the Fourth Proportional to 78,787.85, 108,727.92 and 42,978.02

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Solution

The fourth proportional to 78,787.85, 108,727.92 and 42,978.02 is: 59,310.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,787.85 : 108,727.92 = 42,978.02 : x
  2. Step 2: Convert to fraction form
    78,787.85/108,727.92 = 42,978.02/x
  3. Step 3: Cross multiply
    78,787.85x = 108,727.92 × 42,978.02
  4. Step 4: Simplify right side
    78,787.85x = 4,672,910,720.32
  5. Step 5: Solve for x
    x = 4,672,910,720.32/78,787.85
  6. Step 6: Final answer
    x = 59,310.04

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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.