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Finding the Fourth Proportional to 137,452.58, 189,427.70 and 107,189.97

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Solution

The fourth proportional to 137,452.58, 189,427.70 and 107,189.97 is: 147,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,452.58 : 189,427.70 = 107,189.97 : x
  2. Step 2: Convert to fraction form
    137,452.58/189,427.70 = 107,189.97/x
  3. Step 3: Cross multiply
    137,452.58x = 189,427.70 × 107,189.97
  4. Step 4: Simplify right side
    137,452.58x = 20,304,749,480.17
  5. Step 5: Solve for x
    x = 20,304,749,480.17/137,452.58
  6. Step 6: Final answer
    x = 147,721.85

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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.