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Finding the Fourth Proportional to 86,081.92, 129,319.68 and 82,543.36

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Solution

The fourth proportional to 86,081.92, 129,319.68 and 82,543.36 is: 124,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,081.92 : 129,319.68 = 82,543.36 : x
  2. Step 2: Convert to fraction form
    86,081.92/129,319.68 = 82,543.36/x
  3. Step 3: Cross multiply
    86,081.92x = 129,319.68 × 82,543.36
  4. Step 4: Simplify right side
    86,081.92x = 10,674,480,901.32
  5. Step 5: Solve for x
    x = 10,674,480,901.32/86,081.92
  6. Step 6: Final answer
    x = 124,003.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.