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Finding the Fourth Proportional to 253,689.76, 380,531.88 and 76,189.20

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Solution

The fourth proportional to 253,689.76, 380,531.88 and 76,189.20 is: 114,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,689.76 : 380,531.88 = 76,189.20 : x
  2. Step 2: Convert to fraction form
    253,689.76/380,531.88 = 76,189.20/x
  3. Step 3: Cross multiply
    253,689.76x = 380,531.88 × 76,189.20
  4. Step 4: Simplify right side
    253,689.76x = 28,992,419,511.70
  5. Step 5: Solve for x
    x = 28,992,419,511.70/253,689.76
  6. Step 6: Final answer
    x = 114,282.97

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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.