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Finding the Fourth Proportional to 85,057.16, 127,819.02 and 80,226.32

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Solution

The fourth proportional to 85,057.16, 127,819.02 and 80,226.32 is: 120,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,057.16 : 127,819.02 = 80,226.32 : x
  2. Step 2: Convert to fraction form
    85,057.16/127,819.02 = 80,226.32/x
  3. Step 3: Cross multiply
    85,057.16x = 127,819.02 × 80,226.32
  4. Step 4: Simplify right side
    85,057.16x = 10,254,449,600.61
  5. Step 5: Solve for x
    x = 10,254,449,600.61/85,057.16
  6. Step 6: Final answer
    x = 120,559.51

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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.