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Finding the Fourth Proportional to 252,216, 378,285.12 and 83,809.44

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Solution

The fourth proportional to 252,216, 378,285.12 and 83,809.44 is: 125,701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,216 : 378,285.12 = 83,809.44 : x
  2. Step 2: Convert to fraction form
    252,216/378,285.12 = 83,809.44/x
  3. Step 3: Cross multiply
    252,216x = 378,285.12 × 83,809.44
  4. Step 4: Simplify right side
    252,216x = 31,703,864,067.53
  5. Step 5: Solve for x
    x = 31,703,864,067.53/252,216
  6. Step 6: Final answer
    x = 125,701.24

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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.