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Finding the Fourth Proportional to 78,481.70, 117,722.55 and 52,100.90

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Solution

The fourth proportional to 78,481.70, 117,722.55 and 52,100.90 is: 78,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.70 : 117,722.55 = 52,100.90 : x
  2. Step 2: Convert to fraction form
    78,481.70/117,722.55 = 52,100.90/x
  3. Step 3: Cross multiply
    78,481.70x = 117,722.55 × 52,100.90
  4. Step 4: Simplify right side
    78,481.70x = 6,133,450,805.30
  5. Step 5: Solve for x
    x = 6,133,450,805.30/78,481.70
  6. Step 6: Final answer
    x = 78,151.35

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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.