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Finding the Fourth Proportional to 218,756.25, 301,850.82 and 123,260.90

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Solution

The fourth proportional to 218,756.25, 301,850.82 and 123,260.90 is: 170,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,756.25 : 301,850.82 = 123,260.90 : x
  2. Step 2: Convert to fraction form
    218,756.25/301,850.82 = 123,260.90/x
  3. Step 3: Cross multiply
    218,756.25x = 301,850.82 × 123,260.90
  4. Step 4: Simplify right side
    218,756.25x = 37,206,402,229.68
  5. Step 5: Solve for x
    x = 37,206,402,229.68/218,756.25
  6. Step 6: Final answer
    x = 170,081.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.