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Finding the Fourth Proportional to 83,409.71, 114,732.11 and 73,150.25

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Solution

The fourth proportional to 83,409.71, 114,732.11 and 73,150.25 is: 100,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,409.71 : 114,732.11 = 73,150.25 : x
  2. Step 2: Convert to fraction form
    83,409.71/114,732.11 = 73,150.25/x
  3. Step 3: Cross multiply
    83,409.71x = 114,732.11 × 73,150.25
  4. Step 4: Simplify right side
    83,409.71x = 8,392,682,138.74
  5. Step 5: Solve for x
    x = 8,392,682,138.74/83,409.71
  6. Step 6: Final answer
    x = 100,619.97

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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.