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Finding the Fourth Proportional to 225,876.33, 311,719.10 and 135,214.75

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Solution

The fourth proportional to 225,876.33, 311,719.10 and 135,214.75 is: 186,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,876.33 : 311,719.10 = 135,214.75 : x
  2. Step 2: Convert to fraction form
    225,876.33/311,719.10 = 135,214.75/x
  3. Step 3: Cross multiply
    225,876.33x = 311,719.10 × 135,214.75
  4. Step 4: Simplify right side
    225,876.33x = 42,149,020,176.73
  5. Step 5: Solve for x
    x = 42,149,020,176.73/225,876.33
  6. Step 6: Final answer
    x = 186,602.20

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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.