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Finding the Fourth Proportional to 282,427.81, 423,641.49 and 72,065.75

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Solution

The fourth proportional to 282,427.81, 423,641.49 and 72,065.75 is: 108,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,427.81 : 423,641.49 = 72,065.75 : x
  2. Step 2: Convert to fraction form
    282,427.81/423,641.49 = 72,065.75/x
  3. Step 3: Cross multiply
    282,427.81x = 423,641.49 × 72,065.75
  4. Step 4: Simplify right side
    282,427.81x = 30,530,042,107.87
  5. Step 5: Solve for x
    x = 30,530,042,107.87/282,427.81
  6. Step 6: Final answer
    x = 108,098.57

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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.