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Finding the Fourth Proportional to 138,693.60, 208,040.40 and 137,311.20

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Solution

The fourth proportional to 138,693.60, 208,040.40 and 137,311.20 is: 205,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693.60 : 208,040.40 = 137,311.20 : x
  2. Step 2: Convert to fraction form
    138,693.60/208,040.40 = 137,311.20/x
  3. Step 3: Cross multiply
    138,693.60x = 208,040.40 × 137,311.20
  4. Step 4: Simplify right side
    138,693.60x = 28,566,276,972.48
  5. Step 5: Solve for x
    x = 28,566,276,972.48/138,693.60
  6. Step 6: Final answer
    x = 205,966.80

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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.