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Finding the Fourth Proportional to 137,657.44, 189,944.24 and 81,080.08

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Solution

The fourth proportional to 137,657.44, 189,944.24 and 81,080.08 is: 111,876.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,657.44 : 189,944.24 = 81,080.08 : x
  2. Step 2: Convert to fraction form
    137,657.44/189,944.24 = 81,080.08/x
  3. Step 3: Cross multiply
    137,657.44x = 189,944.24 × 81,080.08
  4. Step 4: Simplify right side
    137,657.44x = 15,400,694,174.74
  5. Step 5: Solve for x
    x = 15,400,694,174.74/137,657.44
  6. Step 6: Final answer
    x = 111,876.95

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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.