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Finding the Fourth Proportional to 78,560.80, 117,841.20 and 55,291.04

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Solution

The fourth proportional to 78,560.80, 117,841.20 and 55,291.04 is: 82,936.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,560.80 : 117,841.20 = 55,291.04 : x
  2. Step 2: Convert to fraction form
    78,560.80/117,841.20 = 55,291.04/x
  3. Step 3: Cross multiply
    78,560.80x = 117,841.20 × 55,291.04
  4. Step 4: Simplify right side
    78,560.80x = 6,515,562,502.85
  5. Step 5: Solve for x
    x = 6,515,562,502.85/78,560.80
  6. Step 6: Final answer
    x = 82,936.56

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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.