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Finding the Fourth Proportional to 252,214.97, 378,198.52 and 83,678.06

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Solution

The fourth proportional to 252,214.97, 378,198.52 and 83,678.06 is: 125,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,214.97 : 378,198.52 = 83,678.06 : x
  2. Step 2: Convert to fraction form
    252,214.97/378,198.52 = 83,678.06/x
  3. Step 3: Cross multiply
    252,214.97x = 378,198.52 × 83,678.06
  4. Step 4: Simplify right side
    252,214.97x = 31,646,919,184.77
  5. Step 5: Solve for x
    x = 31,646,919,184.77/252,214.97
  6. Step 6: Final answer
    x = 125,475.98

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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.