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Finding the Fourth Proportional to 80,140.32, 120,217.37 and 20,975.90

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Solution

The fourth proportional to 80,140.32, 120,217.37 and 20,975.90 is: 31,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,140.32 : 120,217.37 = 20,975.90 : x
  2. Step 2: Convert to fraction form
    80,140.32/120,217.37 = 20,975.90/x
  3. Step 3: Cross multiply
    80,140.32x = 120,217.37 × 20,975.90
  4. Step 4: Simplify right side
    80,140.32x = 2,521,666,825.42
  5. Step 5: Solve for x
    x = 2,521,666,825.42/80,140.32
  6. Step 6: Final answer
    x = 31,465.64

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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.