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Finding the Fourth Proportional to 72,682.38, 109,065.87 and 30,559.41

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Solution

The fourth proportional to 72,682.38, 109,065.87 and 30,559.41 is: 45,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,682.38 : 109,065.87 = 30,559.41 : x
  2. Step 2: Convert to fraction form
    72,682.38/109,065.87 = 30,559.41/x
  3. Step 3: Cross multiply
    72,682.38x = 109,065.87 × 30,559.41
  4. Step 4: Simplify right side
    72,682.38x = 3,332,988,638.34
  5. Step 5: Solve for x
    x = 3,332,988,638.34/72,682.38
  6. Step 6: Final answer
    x = 45,856.90

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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.