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Finding the Fourth Proportional to 137,919.79, 206,732.67 and 78,627.79

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Solution

The fourth proportional to 137,919.79, 206,732.67 and 78,627.79 is: 117,857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,919.79 : 206,732.67 = 78,627.79 : x
  2. Step 2: Convert to fraction form
    137,919.79/206,732.67 = 78,627.79/x
  3. Step 3: Cross multiply
    137,919.79x = 206,732.67 × 78,627.79
  4. Step 4: Simplify right side
    137,919.79x = 16,254,932,962.90
  5. Step 5: Solve for x
    x = 16,254,932,962.90/137,919.79
  6. Step 6: Final answer
    x = 117,857.87

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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.