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Finding the Fourth Proportional to 137,002.92, 189,065.34 and 80,415.24

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Solution

The fourth proportional to 137,002.92, 189,065.34 and 80,415.24 is: 110,973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,002.92 : 189,065.34 = 80,415.24 : x
  2. Step 2: Convert to fraction form
    137,002.92/189,065.34 = 80,415.24/x
  3. Step 3: Cross multiply
    137,002.92x = 189,065.34 × 80,415.24
  4. Step 4: Simplify right side
    137,002.92x = 15,203,734,691.78
  5. Step 5: Solve for x
    x = 15,203,734,691.78/137,002.92
  6. Step 6: Final answer
    x = 110,973.80

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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.