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Finding the Fourth Proportional to 225,480.40, 338,251.66 and 75,763.47

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Solution

The fourth proportional to 225,480.40, 338,251.66 and 75,763.47 is: 113,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,480.40 : 338,251.66 = 75,763.47 : x
  2. Step 2: Convert to fraction form
    225,480.40/338,251.66 = 75,763.47/x
  3. Step 3: Cross multiply
    225,480.40x = 338,251.66 × 75,763.47
  4. Step 4: Simplify right side
    225,480.40x = 25,627,119,494.86
  5. Step 5: Solve for x
    x = 25,627,119,494.86/225,480.40
  6. Step 6: Final answer
    x = 113,655.64

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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.