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Finding the Fourth Proportional to 80,182.34, 120,253 and 30,247.68

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Solution

The fourth proportional to 80,182.34, 120,253 and 30,247.68 is: 45,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,182.34 : 120,253 = 30,247.68 : x
  2. Step 2: Convert to fraction form
    80,182.34/120,253 = 30,247.68/x
  3. Step 3: Cross multiply
    80,182.34x = 120,253 × 30,247.68
  4. Step 4: Simplify right side
    80,182.34x = 3,637,374,263.04
  5. Step 5: Solve for x
    x = 3,637,374,263.04/80,182.34
  6. Step 6: Final answer
    x = 45,363.78

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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.