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Finding the Fourth Proportional to 252,659.78, 378,884.76 and 102,798.34

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Solution

The fourth proportional to 252,659.78, 378,884.76 and 102,798.34 is: 154,154.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,659.78 : 378,884.76 = 102,798.34 : x
  2. Step 2: Convert to fraction form
    252,659.78/378,884.76 = 102,798.34/x
  3. Step 3: Cross multiply
    252,659.78x = 378,884.76 × 102,798.34
  4. Step 4: Simplify right side
    252,659.78x = 38,948,724,979.57
  5. Step 5: Solve for x
    x = 38,948,724,979.57/252,659.78
  6. Step 6: Final answer
    x = 154,154.83

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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.