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Finding the Fourth Proportional to 252,666.54, 378,998.60 and 102,871.32

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Solution

The fourth proportional to 252,666.54, 378,998.60 and 102,871.32 is: 154,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,666.54 : 378,998.60 = 102,871.32 : x
  2. Step 2: Convert to fraction form
    252,666.54/378,998.60 = 102,871.32/x
  3. Step 3: Cross multiply
    252,666.54x = 378,998.60 × 102,871.32
  4. Step 4: Simplify right side
    252,666.54x = 38,988,084,324.55
  5. Step 5: Solve for x
    x = 38,988,084,324.55/252,666.54
  6. Step 6: Final answer
    x = 154,306.48

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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.