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Finding the Fourth Proportional to 225,500, 311,199.90 and 124,898

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Solution

The fourth proportional to 225,500, 311,199.90 and 124,898 is: 172,364.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,500 : 311,199.90 = 124,898 : x
  2. Step 2: Convert to fraction form
    225,500/311,199.90 = 124,898/x
  3. Step 3: Cross multiply
    225,500x = 311,199.90 × 124,898
  4. Step 4: Simplify right side
    225,500x = 38,868,245,110.20
  5. Step 5: Solve for x
    x = 38,868,245,110.20/225,500
  6. Step 6: Final answer
    x = 172,364.72

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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.