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Finding the Fourth Proportional to 86,115.96, 129,129.67 and 38,690.41

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Solution

The fourth proportional to 86,115.96, 129,129.67 and 38,690.41 is: 58,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,115.96 : 129,129.67 = 38,690.41 : x
  2. Step 2: Convert to fraction form
    86,115.96/129,129.67 = 38,690.41/x
  3. Step 3: Cross multiply
    86,115.96x = 129,129.67 × 38,690.41
  4. Step 4: Simplify right side
    86,115.96x = 4,996,079,875.46
  5. Step 5: Solve for x
    x = 4,996,079,875.46/86,115.96
  6. Step 6: Final answer
    x = 58,015.73

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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.