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Finding the Fourth Proportional to 80,117.49, 120,165.76 and 20,957.70

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Solution

The fourth proportional to 80,117.49, 120,165.76 and 20,957.70 is: 31,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,117.49 : 120,165.76 = 20,957.70 : x
  2. Step 2: Convert to fraction form
    80,117.49/120,165.76 = 20,957.70/x
  3. Step 3: Cross multiply
    80,117.49x = 120,165.76 × 20,957.70
  4. Step 4: Simplify right side
    80,117.49x = 2,518,397,948.35
  5. Step 5: Solve for x
    x = 2,518,397,948.35/80,117.49
  6. Step 6: Final answer
    x = 31,433.81

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1.5x scale

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.