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Finding the Fourth Proportional to 80,722.32, 120,908.44 and 39,082

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Solution

The fourth proportional to 80,722.32, 120,908.44 and 39,082 is: 58,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,722.32 : 120,908.44 = 39,082 : x
  2. Step 2: Convert to fraction form
    80,722.32/120,908.44 = 39,082/x
  3. Step 3: Cross multiply
    80,722.32x = 120,908.44 × 39,082
  4. Step 4: Simplify right side
    80,722.32x = 4,725,343,652.08
  5. Step 5: Solve for x
    x = 4,725,343,652.08/80,722.32
  6. Step 6: Final answer
    x = 58,538.25

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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.