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Finding the Fourth Proportional to 138,164.80, 207,264.16 and 49,427.68

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Solution

The fourth proportional to 138,164.80, 207,264.16 and 49,427.68 is: 74,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.80 : 207,264.16 = 49,427.68 : x
  2. Step 2: Convert to fraction form
    138,164.80/207,264.16 = 49,427.68/x
  3. Step 3: Cross multiply
    138,164.80x = 207,264.16 × 49,427.68
  4. Step 4: Simplify right side
    138,164.80x = 10,244,586,575.95
  5. Step 5: Solve for x
    x = 10,244,586,575.95/138,164.80
  6. Step 6: Final answer
    x = 74,147.59

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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.