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Finding the Fourth Proportional to 138,857.60, 208,119.42 and 63,874.40

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Solution

The fourth proportional to 138,857.60, 208,119.42 and 63,874.40 is: 95,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.60 : 208,119.42 = 63,874.40 : x
  2. Step 2: Convert to fraction form
    138,857.60/208,119.42 = 63,874.40/x
  3. Step 3: Cross multiply
    138,857.60x = 208,119.42 × 63,874.40
  4. Step 4: Simplify right side
    138,857.60x = 13,293,503,080.85
  5. Step 5: Solve for x
    x = 13,293,503,080.85/138,857.60
  6. Step 6: Final answer
    x = 95,734.79

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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.