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Finding the Fourth Proportional to 78,640.80, 117,766.80 and 52,202.40

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Solution

The fourth proportional to 78,640.80, 117,766.80 and 52,202.40 is: 78,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,640.80 : 117,766.80 = 52,202.40 : x
  2. Step 2: Convert to fraction form
    78,640.80/117,766.80 = 52,202.40/x
  3. Step 3: Cross multiply
    78,640.80x = 117,766.80 × 52,202.40
  4. Step 4: Simplify right side
    78,640.80x = 6,147,709,600.32
  5. Step 5: Solve for x
    x = 6,147,709,600.32/78,640.80
  6. Step 6: Final answer
    x = 78,174.56

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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.