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Finding the Fourth Proportional to 71,378, 107,081.52 and 24,624.80

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Solution

The fourth proportional to 71,378, 107,081.52 and 24,624.80 is: 36,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378 : 107,081.52 = 24,624.80 : x
  2. Step 2: Convert to fraction form
    71,378/107,081.52 = 24,624.80/x
  3. Step 3: Cross multiply
    71,378x = 107,081.52 × 24,624.80
  4. Step 4: Simplify right side
    71,378x = 2,636,861,013.70
  5. Step 5: Solve for x
    x = 2,636,861,013.70/71,378
  6. Step 6: Final answer
    x = 36,942.21

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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.