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Finding the Fourth Proportional to 137,568.26, 189,763.76 and 86,500.14

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Solution

The fourth proportional to 137,568.26, 189,763.76 and 86,500.14 is: 119,319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,568.26 : 189,763.76 = 86,500.14 : x
  2. Step 2: Convert to fraction form
    137,568.26/189,763.76 = 86,500.14/x
  3. Step 3: Cross multiply
    137,568.26x = 189,763.76 × 86,500.14
  4. Step 4: Simplify right side
    137,568.26x = 16,414,591,806.93
  5. Step 5: Solve for x
    x = 16,414,591,806.93/137,568.26
  6. Step 6: Final answer
    x = 119,319.61

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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.