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Finding the Fourth Proportional to 71,638.38, 107,420.63 and 32,161.64

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Solution

The fourth proportional to 71,638.38, 107,420.63 and 32,161.64 is: 48,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,638.38 : 107,420.63 = 32,161.64 : x
  2. Step 2: Convert to fraction form
    71,638.38/107,420.63 = 32,161.64/x
  3. Step 3: Cross multiply
    71,638.38x = 107,420.63 × 32,161.64
  4. Step 4: Simplify right side
    71,638.38x = 3,454,822,932.72
  5. Step 5: Solve for x
    x = 3,454,822,932.72/71,638.38
  6. Step 6: Final answer
    x = 48,225.87

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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.