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Finding the Fourth Proportional to 71,710.80, 107,551.80 and 34,270.80

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Solution

The fourth proportional to 71,710.80, 107,551.80 and 34,270.80 is: 51,399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,710.80 : 107,551.80 = 34,270.80 : x
  2. Step 2: Convert to fraction form
    71,710.80/107,551.80 = 34,270.80/x
  3. Step 3: Cross multiply
    71,710.80x = 107,551.80 × 34,270.80
  4. Step 4: Simplify right side
    71,710.80x = 3,685,886,227.44
  5. Step 5: Solve for x
    x = 3,685,886,227.44/71,710.80
  6. Step 6: Final answer
    x = 51,399.32

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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.