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Finding the Fourth Proportional to 78,285, 117,449.10 and 22,881

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Solution

The fourth proportional to 78,285, 117,449.10 and 22,881 is: 34,327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,285 : 117,449.10 = 22,881 : x
  2. Step 2: Convert to fraction form
    78,285/117,449.10 = 22,881/x
  3. Step 3: Cross multiply
    78,285x = 117,449.10 × 22,881
  4. Step 4: Simplify right side
    78,285x = 2,687,352,857.10
  5. Step 5: Solve for x
    x = 2,687,352,857.10/78,285
  6. Step 6: Final answer
    x = 34,327.81

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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.