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Finding the Fourth Proportional to 80,278.80, 120,432.11 and 26,975.98

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Solution

The fourth proportional to 80,278.80, 120,432.11 and 26,975.98 is: 40,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,278.80 : 120,432.11 = 26,975.98 : x
  2. Step 2: Convert to fraction form
    80,278.80/120,432.11 = 26,975.98/x
  3. Step 3: Cross multiply
    80,278.80x = 120,432.11 × 26,975.98
  4. Step 4: Simplify right side
    80,278.80x = 3,248,774,190.72
  5. Step 5: Solve for x
    x = 3,248,774,190.72/80,278.80
  6. Step 6: Final answer
    x = 40,468.64

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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.