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Finding the Fourth Proportional to 100,589.31, 138,815.55 and 55,270.11

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Solution

The fourth proportional to 100,589.31, 138,815.55 and 55,270.11 is: 76,274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.31 : 138,815.55 = 55,270.11 : x
  2. Step 2: Convert to fraction form
    100,589.31/138,815.55 = 55,270.11/x
  3. Step 3: Cross multiply
    100,589.31x = 138,815.55 × 55,270.11
  4. Step 4: Simplify right side
    100,589.31x = 7,672,350,718.21
  5. Step 5: Solve for x
    x = 7,672,350,718.21/100,589.31
  6. Step 6: Final answer
    x = 76,274.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.