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Finding the Fourth Proportional to 86,647.96, 129,916.30 and 36,082

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Solution

The fourth proportional to 86,647.96, 129,916.30 and 36,082 is: 54,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,647.96 : 129,916.30 = 36,082 : x
  2. Step 2: Convert to fraction form
    86,647.96/129,916.30 = 36,082/x
  3. Step 3: Cross multiply
    86,647.96x = 129,916.30 × 36,082
  4. Step 4: Simplify right side
    86,647.96x = 4,687,639,936.60
  5. Step 5: Solve for x
    x = 4,687,639,936.60/86,647.96
  6. Step 6: Final answer
    x = 54,099.83

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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.