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Finding the Fourth Proportional to 225,503.82, 311,191.33 and 123,531.30

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Solution

The fourth proportional to 225,503.82, 311,191.33 and 123,531.30 is: 170,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,503.82 : 311,191.33 = 123,531.30 : x
  2. Step 2: Convert to fraction form
    225,503.82/311,191.33 = 123,531.30/x
  3. Step 3: Cross multiply
    225,503.82x = 311,191.33 × 123,531.30
  4. Step 4: Simplify right side
    225,503.82x = 38,441,869,543.63
  5. Step 5: Solve for x
    x = 38,441,869,543.63/225,503.82
  6. Step 6: Final answer
    x = 170,471.03

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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.