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Finding the Fourth Proportional to 278,057.97, 416,806.50 and 109,513.17

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Solution

The fourth proportional to 278,057.97, 416,806.50 and 109,513.17 is: 164,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,057.97 : 416,806.50 = 109,513.17 : x
  2. Step 2: Convert to fraction form
    278,057.97/416,806.50 = 109,513.17/x
  3. Step 3: Cross multiply
    278,057.97x = 416,806.50 × 109,513.17
  4. Step 4: Simplify right side
    278,057.97x = 45,645,801,091.61
  5. Step 5: Solve for x
    x = 45,645,801,091.61/278,057.97
  6. Step 6: Final answer
    x = 164,159.30

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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.