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Finding the Fourth Proportional to 137,767.62, 206,454.08 and 78,480.88

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Solution

The fourth proportional to 137,767.62, 206,454.08 and 78,480.88 is: 117,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767.62 : 206,454.08 = 78,480.88 : x
  2. Step 2: Convert to fraction form
    137,767.62/206,454.08 = 78,480.88/x
  3. Step 3: Cross multiply
    137,767.62x = 206,454.08 × 78,480.88
  4. Step 4: Simplify right side
    137,767.62x = 16,202,697,877.99
  5. Step 5: Solve for x
    x = 16,202,697,877.99/137,767.62
  6. Step 6: Final answer
    x = 117,608.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.