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Finding the Fourth Proportional to 80,640, 110,989.44 and 71,016.72

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Solution

The fourth proportional to 80,640, 110,989.44 and 71,016.72 is: 97,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,640 : 110,989.44 = 71,016.72 : x
  2. Step 2: Convert to fraction form
    80,640/110,989.44 = 71,016.72/x
  3. Step 3: Cross multiply
    80,640x = 110,989.44 × 71,016.72
  4. Step 4: Simplify right side
    80,640x = 7,882,105,983.44
  5. Step 5: Solve for x
    x = 7,882,105,983.44/80,640
  6. Step 6: Final answer
    x = 97,744.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.