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Finding the Fourth Proportional to 138,070.22, 206,773.16 and 78,725.98

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Solution

The fourth proportional to 138,070.22, 206,773.16 and 78,725.98 is: 117,899.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,070.22 : 206,773.16 = 78,725.98 : x
  2. Step 2: Convert to fraction form
    138,070.22/206,773.16 = 78,725.98/x
  3. Step 3: Cross multiply
    138,070.22x = 206,773.16 × 78,725.98
  4. Step 4: Simplify right side
    138,070.22x = 16,278,419,658.70
  5. Step 5: Solve for x
    x = 16,278,419,658.70/138,070.22
  6. Step 6: Final answer
    x = 117,899.57

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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.