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Finding the Fourth Proportional to 69,143.60, 103,744.20 and 34,083.56

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Solution

The fourth proportional to 69,143.60, 103,744.20 and 34,083.56 is: 51,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143.60 : 103,744.20 = 34,083.56 : x
  2. Step 2: Convert to fraction form
    69,143.60/103,744.20 = 34,083.56/x
  3. Step 3: Cross multiply
    69,143.60x = 103,744.20 × 34,083.56
  4. Step 4: Simplify right side
    69,143.60x = 3,535,971,665.35
  5. Step 5: Solve for x
    x = 3,535,971,665.35/69,143.60
  6. Step 6: Final answer
    x = 51,139.54

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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.