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Finding the Fourth Proportional to 225,886.86, 311,691.65 and 135,221.13

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Solution

The fourth proportional to 225,886.86, 311,691.65 and 135,221.13 is: 186,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.86 : 311,691.65 = 135,221.13 : x
  2. Step 2: Convert to fraction form
    225,886.86/311,691.65 = 135,221.13/x
  3. Step 3: Cross multiply
    225,886.86x = 311,691.65 × 135,221.13
  4. Step 4: Simplify right side
    225,886.86x = 42,147,296,448.46
  5. Step 5: Solve for x
    x = 42,147,296,448.46/225,886.86
  6. Step 6: Final answer
    x = 186,585.87

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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.