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Finding the Fourth Proportional to 252,386.82, 378,498.32 and 83,861.90

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Solution

The fourth proportional to 252,386.82, 378,498.32 and 83,861.90 is: 125,765.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,386.82 : 378,498.32 = 83,861.90 : x
  2. Step 2: Convert to fraction form
    252,386.82/378,498.32 = 83,861.90/x
  3. Step 3: Cross multiply
    252,386.82x = 378,498.32 × 83,861.90
  4. Step 4: Simplify right side
    252,386.82x = 31,741,587,684.06
  5. Step 5: Solve for x
    x = 31,741,587,684.06/252,386.82
  6. Step 6: Final answer
    x = 125,765.63

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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.