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Finding the Fourth Proportional to 80,843.50, 111,564.03 and 47,309.50

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Solution

The fourth proportional to 80,843.50, 111,564.03 and 47,309.50 is: 65,287.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,843.50 : 111,564.03 = 47,309.50 : x
  2. Step 2: Convert to fraction form
    80,843.50/111,564.03 = 47,309.50/x
  3. Step 3: Cross multiply
    80,843.50x = 111,564.03 × 47,309.50
  4. Step 4: Simplify right side
    80,843.50x = 5,278,038,477.29
  5. Step 5: Solve for x
    x = 5,278,038,477.29/80,843.50
  6. Step 6: Final answer
    x = 65,287.11

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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.