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Finding the Fourth Proportional to 252,196.80, 378,052.20 and 145,471.20

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Solution

The fourth proportional to 252,196.80, 378,052.20 and 145,471.20 is: 218,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,196.80 : 378,052.20 = 145,471.20 : x
  2. Step 2: Convert to fraction form
    252,196.80/378,052.20 = 145,471.20/x
  3. Step 3: Cross multiply
    252,196.80x = 378,052.20 × 145,471.20
  4. Step 4: Simplify right side
    252,196.80x = 54,995,707,196.64
  5. Step 5: Solve for x
    x = 54,995,707,196.64/252,196.80
  6. Step 6: Final answer
    x = 218,066.63

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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.