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Finding the Fourth Proportional to 138,625.80, 207,793.98 and 100,583.16

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Solution

The fourth proportional to 138,625.80, 207,793.98 and 100,583.16 is: 150,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,625.80 : 207,793.98 = 100,583.16 : x
  2. Step 2: Convert to fraction form
    138,625.80/207,793.98 = 100,583.16/x
  3. Step 3: Cross multiply
    138,625.80x = 207,793.98 × 100,583.16
  4. Step 4: Simplify right side
    138,625.80x = 20,900,575,137.38
  5. Step 5: Solve for x
    x = 20,900,575,137.38/138,625.80
  6. Step 6: Final answer
    x = 150,769.74

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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.