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Finding the Fourth Proportional to 78,129.76, 117,201.84 and 25,539.52

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Solution

The fourth proportional to 78,129.76, 117,201.84 and 25,539.52 is: 38,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129.76 : 117,201.84 = 25,539.52 : x
  2. Step 2: Convert to fraction form
    78,129.76/117,201.84 = 25,539.52/x
  3. Step 3: Cross multiply
    78,129.76x = 117,201.84 × 25,539.52
  4. Step 4: Simplify right side
    78,129.76x = 2,993,278,736.72
  5. Step 5: Solve for x
    x = 2,993,278,736.72/78,129.76
  6. Step 6: Final answer
    x = 38,311.63

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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.