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Finding the Fourth Proportional to 86,493.81, 129,769.88 and 85,910.61

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Solution

The fourth proportional to 86,493.81, 129,769.88 and 85,910.61 is: 128,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493.81 : 129,769.88 = 85,910.61 : x
  2. Step 2: Convert to fraction form
    86,493.81/129,769.88 = 85,910.61/x
  3. Step 3: Cross multiply
    86,493.81x = 129,769.88 × 85,910.61
  4. Step 4: Simplify right side
    86,493.81x = 11,148,609,120.87
  5. Step 5: Solve for x
    x = 11,148,609,120.87/86,493.81
  6. Step 6: Final answer
    x = 128,894.88

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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.