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Finding the Fourth Proportional to 138,217.68, 207,326.16 and 55,170

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Solution

The fourth proportional to 138,217.68, 207,326.16 and 55,170 is: 82,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,217.68 : 207,326.16 = 55,170 : x
  2. Step 2: Convert to fraction form
    138,217.68/207,326.16 = 55,170/x
  3. Step 3: Cross multiply
    138,217.68x = 207,326.16 × 55,170
  4. Step 4: Simplify right side
    138,217.68x = 11,438,184,247.20
  5. Step 5: Solve for x
    x = 11,438,184,247.20/138,217.68
  6. Step 6: Final answer
    x = 82,754.86

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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.