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Finding the Fourth Proportional to 78,825.66, 118,251.86 and 34,451.43

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Solution

The fourth proportional to 78,825.66, 118,251.86 and 34,451.43 is: 51,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.66 : 118,251.86 = 34,451.43 : x
  2. Step 2: Convert to fraction form
    78,825.66/118,251.86 = 34,451.43/x
  3. Step 3: Cross multiply
    78,825.66x = 118,251.86 × 34,451.43
  4. Step 4: Simplify right side
    78,825.66x = 4,073,945,504.90
  5. Step 5: Solve for x
    x = 4,073,945,504.90/78,825.66
  6. Step 6: Final answer
    x = 51,682.99

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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.