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Finding the Fourth Proportional to 78,044.50, 117,086.19 and 22,640.50

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Solution

The fourth proportional to 78,044.50, 117,086.19 and 22,640.50 is: 33,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,044.50 : 117,086.19 = 22,640.50 : x
  2. Step 2: Convert to fraction form
    78,044.50/117,086.19 = 22,640.50/x
  3. Step 3: Cross multiply
    78,044.50x = 117,086.19 × 22,640.50
  4. Step 4: Simplify right side
    78,044.50x = 2,650,889,884.70
  5. Step 5: Solve for x
    x = 2,650,889,884.70/78,044.50
  6. Step 6: Final answer
    x = 33,966.39

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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.