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Finding the Fourth Proportional to 71,760.80, 107,626.80 and 34,320.80

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Solution

The fourth proportional to 71,760.80, 107,626.80 and 34,320.80 is: 51,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.80 : 107,626.80 = 34,320.80 : x
  2. Step 2: Convert to fraction form
    71,760.80/107,626.80 = 34,320.80/x
  3. Step 3: Cross multiply
    71,760.80x = 107,626.80 × 34,320.80
  4. Step 4: Simplify right side
    71,760.80x = 3,693,837,877.44
  5. Step 5: Solve for x
    x = 3,693,837,877.44/71,760.80
  6. Step 6: Final answer
    x = 51,474.31

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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.