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Finding the Fourth Proportional to 137,347.92, 206,019.72 and 100,144.08

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Solution

The fourth proportional to 137,347.92, 206,019.72 and 100,144.08 is: 150,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,347.92 : 206,019.72 = 100,144.08 : x
  2. Step 2: Convert to fraction form
    137,347.92/206,019.72 = 100,144.08/x
  3. Step 3: Cross multiply
    137,347.92x = 206,019.72 × 100,144.08
  4. Step 4: Simplify right side
    137,347.92x = 20,631,655,321.26
  5. Step 5: Solve for x
    x = 20,631,655,321.26/137,347.92
  6. Step 6: Final answer
    x = 150,214.55

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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.