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Finding the Fourth Proportional to 69,086, 95,338.68 and 39,278

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Solution

The fourth proportional to 69,086, 95,338.68 and 39,278 is: 54,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,086 : 95,338.68 = 39,278 : x
  2. Step 2: Convert to fraction form
    69,086/95,338.68 = 39,278/x
  3. Step 3: Cross multiply
    69,086x = 95,338.68 × 39,278
  4. Step 4: Simplify right side
    69,086x = 3,744,712,673.04
  5. Step 5: Solve for x
    x = 3,744,712,673.04/69,086
  6. Step 6: Final answer
    x = 54,203.64

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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.