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Finding the Fourth Proportional to 138,697.60, 208,046.40 and 137,315.20

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Solution

The fourth proportional to 138,697.60, 208,046.40 and 137,315.20 is: 205,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,697.60 : 208,046.40 = 137,315.20 : x
  2. Step 2: Convert to fraction form
    138,697.60/208,046.40 = 137,315.20/x
  3. Step 3: Cross multiply
    138,697.60x = 208,046.40 × 137,315.20
  4. Step 4: Simplify right side
    138,697.60x = 28,567,933,025.28
  5. Step 5: Solve for x
    x = 28,567,933,025.28/138,697.60
  6. Step 6: Final answer
    x = 205,972.80

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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.