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Finding the Fourth Proportional to 71,758.78, 107,568.34 and 34,309.14

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Solution

The fourth proportional to 71,758.78, 107,568.34 and 34,309.14 is: 51,430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758.78 : 107,568.34 = 34,309.14 : x
  2. Step 2: Convert to fraction form
    71,758.78/107,568.34 = 34,309.14/x
  3. Step 3: Cross multiply
    71,758.78x = 107,568.34 × 34,309.14
  4. Step 4: Simplify right side
    71,758.78x = 3,690,576,747.47
  5. Step 5: Solve for x
    x = 3,690,576,747.47/71,758.78
  6. Step 6: Final answer
    x = 51,430.32

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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.