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Finding the Fourth Proportional to 137,357.14, 189,531.20 and 80,005.90

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Solution

The fourth proportional to 137,357.14, 189,531.20 and 80,005.90 is: 110,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,357.14 : 189,531.20 = 80,005.90 : x
  2. Step 2: Convert to fraction form
    137,357.14/189,531.20 = 80,005.90/x
  3. Step 3: Cross multiply
    137,357.14x = 189,531.20 × 80,005.90
  4. Step 4: Simplify right side
    137,357.14x = 15,163,614,234.08
  5. Step 5: Solve for x
    x = 15,163,614,234.08/137,357.14
  6. Step 6: Final answer
    x = 110,395.53

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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.