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Finding the Fourth Proportional to 138,675.75, 208,048.19 and 40,179.75

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Solution

The fourth proportional to 138,675.75, 208,048.19 and 40,179.75 is: 60,279.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,675.75 : 208,048.19 = 40,179.75 : x
  2. Step 2: Convert to fraction form
    138,675.75/208,048.19 = 40,179.75/x
  3. Step 3: Cross multiply
    138,675.75x = 208,048.19 × 40,179.75
  4. Step 4: Simplify right side
    138,675.75x = 8,359,324,061.25
  5. Step 5: Solve for x
    x = 8,359,324,061.25/138,675.75
  6. Step 6: Final answer
    x = 60,279.64

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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.