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Finding the Fourth Proportional to 137,587.56, 189,853.92 and 80,988

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Solution

The fourth proportional to 137,587.56, 189,853.92 and 80,988 is: 111,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,587.56 : 189,853.92 = 80,988 : x
  2. Step 2: Convert to fraction form
    137,587.56/189,853.92 = 80,988/x
  3. Step 3: Cross multiply
    137,587.56x = 189,853.92 × 80,988
  4. Step 4: Simplify right side
    137,587.56x = 15,375,889,272.96
  5. Step 5: Solve for x
    x = 15,375,889,272.96/137,587.56
  6. Step 6: Final answer
    x = 111,753.48

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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.