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Finding the Fourth Proportional to 137,876.28, 206,814.42 and 39,380.28

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Solution

The fourth proportional to 137,876.28, 206,814.42 and 39,380.28 is: 59,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,876.28 : 206,814.42 = 39,380.28 : x
  2. Step 2: Convert to fraction form
    137,876.28/206,814.42 = 39,380.28/x
  3. Step 3: Cross multiply
    137,876.28x = 206,814.42 × 39,380.28
  4. Step 4: Simplify right side
    137,876.28x = 8,144,409,767.64
  5. Step 5: Solve for x
    x = 8,144,409,767.64/137,876.28
  6. Step 6: Final answer
    x = 59,070.42

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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.