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Finding the Fourth Proportional to 71,502.65, 107,269.38 and 21,578.57

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Solution

The fourth proportional to 71,502.65, 107,269.38 and 21,578.57 is: 32,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.65 : 107,269.38 = 21,578.57 : x
  2. Step 2: Convert to fraction form
    71,502.65/107,269.38 = 21,578.57/x
  3. Step 3: Cross multiply
    71,502.65x = 107,269.38 × 21,578.57
  4. Step 4: Simplify right side
    71,502.65x = 2,314,719,288.84
  5. Step 5: Solve for x
    x = 2,314,719,288.84/71,502.65
  6. Step 6: Final answer
    x = 32,372.50

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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.