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Finding the Fourth Proportional to 78,481.20, 117,721.80 and 52,100.40

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Solution

The fourth proportional to 78,481.20, 117,721.80 and 52,100.40 is: 78,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,481.20 : 117,721.80 = 52,100.40 : x
  2. Step 2: Convert to fraction form
    78,481.20/117,721.80 = 52,100.40/x
  3. Step 3: Cross multiply
    78,481.20x = 117,721.80 × 52,100.40
  4. Step 4: Simplify right side
    78,481.20x = 6,133,352,868.72
  5. Step 5: Solve for x
    x = 6,133,352,868.72/78,481.20
  6. Step 6: Final answer
    x = 78,150.60

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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.