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Finding the Fourth Proportional to 138,165.30, 207,138.60 and 75,835.80

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Solution

The fourth proportional to 138,165.30, 207,138.60 and 75,835.80 is: 113,693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.30 : 207,138.60 = 75,835.80 : x
  2. Step 2: Convert to fraction form
    138,165.30/207,138.60 = 75,835.80/x
  3. Step 3: Cross multiply
    138,165.30x = 207,138.60 × 75,835.80
  4. Step 4: Simplify right side
    138,165.30x = 15,708,521,441.88
  5. Step 5: Solve for x
    x = 15,708,521,441.88/138,165.30
  6. Step 6: Final answer
    x = 113,693.68

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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.