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Finding the Fourth Proportional to 225,612, 338,423.44 and 75,854.24

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Solution

The fourth proportional to 225,612, 338,423.44 and 75,854.24 is: 113,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612 : 338,423.44 = 75,854.24 : x
  2. Step 2: Convert to fraction form
    225,612/338,423.44 = 75,854.24/x
  3. Step 3: Cross multiply
    225,612x = 338,423.44 × 75,854.24
  4. Step 4: Simplify right side
    225,612x = 25,670,852,839.39
  5. Step 5: Solve for x
    x = 25,670,852,839.39/225,612
  6. Step 6: Final answer
    x = 113,783.19

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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.