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Finding the Fourth Proportional to 252,389.80, 378,502.75 and 83,864.88

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Solution

The fourth proportional to 252,389.80, 378,502.75 and 83,864.88 is: 125,770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,389.80 : 378,502.75 = 83,864.88 : x
  2. Step 2: Convert to fraction form
    252,389.80/378,502.75 = 83,864.88/x
  3. Step 3: Cross multiply
    252,389.80x = 378,502.75 × 83,864.88
  4. Step 4: Simplify right side
    252,389.80x = 31,743,087,708.42
  5. Step 5: Solve for x
    x = 31,743,087,708.42/252,389.80
  6. Step 6: Final answer
    x = 125,770.09

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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.