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Finding the Fourth Proportional to 78,429.80, 117,644.54 and 22,270.43

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Solution

The fourth proportional to 78,429.80, 117,644.54 and 22,270.43 is: 33,405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,429.80 : 117,644.54 = 22,270.43 : x
  2. Step 2: Convert to fraction form
    78,429.80/117,644.54 = 22,270.43/x
  3. Step 3: Cross multiply
    78,429.80x = 117,644.54 × 22,270.43
  4. Step 4: Simplify right side
    78,429.80x = 2,619,993,793.38
  5. Step 5: Solve for x
    x = 2,619,993,793.38/78,429.80
  6. Step 6: Final answer
    x = 33,405.59

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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.