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Finding the Fourth Proportional to 138,937.20, 208,405.80 and 76,729.20

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Solution

The fourth proportional to 138,937.20, 208,405.80 and 76,729.20 is: 115,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,937.20 : 208,405.80 = 76,729.20 : x
  2. Step 2: Convert to fraction form
    138,937.20/208,405.80 = 76,729.20/x
  3. Step 3: Cross multiply
    138,937.20x = 208,405.80 × 76,729.20
  4. Step 4: Simplify right side
    138,937.20x = 15,990,810,309.36
  5. Step 5: Solve for x
    x = 15,990,810,309.36/138,937.20
  6. Step 6: Final answer
    x = 115,093.80

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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.