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Finding the Fourth Proportional to 137,149.56, 189,291.06 and 80,564.04

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Solution

The fourth proportional to 137,149.56, 189,291.06 and 80,564.04 is: 111,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.56 : 189,291.06 = 80,564.04 : x
  2. Step 2: Convert to fraction form
    137,149.56/189,291.06 = 80,564.04/x
  3. Step 3: Cross multiply
    137,149.56x = 189,291.06 × 80,564.04
  4. Step 4: Simplify right side
    137,149.56x = 15,250,052,529.48
  5. Step 5: Solve for x
    x = 15,250,052,529.48/137,149.56
  6. Step 6: Final answer
    x = 111,192.87

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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.