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Finding the Fourth Proportional to 80,854.38, 110,771.02 and 77,824.16

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Solution

The fourth proportional to 80,854.38, 110,771.02 and 77,824.16 is: 106,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,854.38 : 110,771.02 = 77,824.16 : x
  2. Step 2: Convert to fraction form
    80,854.38/110,771.02 = 77,824.16/x
  3. Step 3: Cross multiply
    80,854.38x = 110,771.02 × 77,824.16
  4. Step 4: Simplify right side
    80,854.38x = 8,620,661,583.84
  5. Step 5: Solve for x
    x = 8,620,661,583.84/80,854.38
  6. Step 6: Final answer
    x = 106,619.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.