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Finding the Fourth Proportional to 80,503.31, 120,754.98 and 25,099.31

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Solution

The fourth proportional to 80,503.31, 120,754.98 and 25,099.31 is: 37,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,503.31 : 120,754.98 = 25,099.31 : x
  2. Step 2: Convert to fraction form
    80,503.31/120,754.98 = 25,099.31/x
  3. Step 3: Cross multiply
    80,503.31x = 120,754.98 × 25,099.31
  4. Step 4: Simplify right side
    80,503.31x = 3,030,866,978.95
  5. Step 5: Solve for x
    x = 3,030,866,978.95/80,503.31
  6. Step 6: Final answer
    x = 37,648.97

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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.