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Finding the Fourth Proportional to 80,526.88, 120,799.92 and 38,944

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Solution

The fourth proportional to 80,526.88, 120,799.92 and 38,944 is: 58,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,526.88 : 120,799.92 = 38,944 : x
  2. Step 2: Convert to fraction form
    80,526.88/120,799.92 = 38,944/x
  3. Step 3: Cross multiply
    80,526.88x = 120,799.92 × 38,944
  4. Step 4: Simplify right side
    80,526.88x = 4,704,432,084.48
  5. Step 5: Solve for x
    x = 4,704,432,084.48/80,526.88
  6. Step 6: Final answer
    x = 58,420.64

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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.