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Finding the Fourth Proportional to 138,751.20, 208,160.40 and 40,255.20

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Solution

The fourth proportional to 138,751.20, 208,160.40 and 40,255.20 is: 60,392.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.20 : 208,160.40 = 40,255.20 : x
  2. Step 2: Convert to fraction form
    138,751.20/208,160.40 = 40,255.20/x
  3. Step 3: Cross multiply
    138,751.20x = 208,160.40 × 40,255.20
  4. Step 4: Simplify right side
    138,751.20x = 8,379,538,534.08
  5. Step 5: Solve for x
    x = 8,379,538,534.08/138,751.20
  6. Step 6: Final answer
    x = 60,392.55

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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.