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Finding the Fourth Proportional to 252,104.83, 378,215.99 and 83,612.83

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Solution

The fourth proportional to 252,104.83, 378,215.99 and 83,612.83 is: 125,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,104.83 : 378,215.99 = 83,612.83 : x
  2. Step 2: Convert to fraction form
    252,104.83/378,215.99 = 83,612.83/x
  3. Step 3: Cross multiply
    252,104.83x = 378,215.99 × 83,612.83
  4. Step 4: Simplify right side
    252,104.83x = 31,623,708,857.09
  5. Step 5: Solve for x
    x = 31,623,708,857.09/252,104.83
  6. Step 6: Final answer
    x = 125,438.73

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1.5x scale

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.