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Finding the Fourth Proportional to 138,375, 207,562.50 and 44,880.75

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Solution

The fourth proportional to 138,375, 207,562.50 and 44,880.75 is: 67,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,375 : 207,562.50 = 44,880.75 : x
  2. Step 2: Convert to fraction form
    138,375/207,562.50 = 44,880.75/x
  3. Step 3: Cross multiply
    138,375x = 207,562.50 × 44,880.75
  4. Step 4: Simplify right side
    138,375x = 9,315,560,671.88
  5. Step 5: Solve for x
    x = 9,315,560,671.88/138,375
  6. Step 6: Final answer
    x = 67,321.13

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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.