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Finding the Fourth Proportional to 69,552, 95,981.76 and 39,744

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Solution

The fourth proportional to 69,552, 95,981.76 and 39,744 is: 54,846.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,552 : 95,981.76 = 39,744 : x
  2. Step 2: Convert to fraction form
    69,552/95,981.76 = 39,744/x
  3. Step 3: Cross multiply
    69,552x = 95,981.76 × 39,744
  4. Step 4: Simplify right side
    69,552x = 3,814,699,069.44
  5. Step 5: Solve for x
    x = 3,814,699,069.44/69,552
  6. Step 6: Final answer
    x = 54,846.72

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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.