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Finding the Fourth Proportional to 225,561, 338,340.86 and 100,814.52

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Solution

The fourth proportional to 225,561, 338,340.86 and 100,814.52 is: 151,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,561 : 338,340.86 = 100,814.52 : x
  2. Step 2: Convert to fraction form
    225,561/338,340.86 = 100,814.52/x
  3. Step 3: Cross multiply
    225,561x = 338,340.86 × 100,814.52
  4. Step 4: Simplify right side
    225,561x = 34,109,671,397.29
  5. Step 5: Solve for x
    x = 34,109,671,397.29/225,561
  6. Step 6: Final answer
    x = 151,221.49

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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.