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Finding the Fourth Proportional to 69,554, 95,984.52 and 39,746

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Solution

The fourth proportional to 69,554, 95,984.52 and 39,746 is: 54,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,554 : 95,984.52 = 39,746 : x
  2. Step 2: Convert to fraction form
    69,554/95,984.52 = 39,746/x
  3. Step 3: Cross multiply
    69,554x = 95,984.52 × 39,746
  4. Step 4: Simplify right side
    69,554x = 3,815,000,731.92
  5. Step 5: Solve for x
    x = 3,815,000,731.92/69,554
  6. Step 6: Final answer
    x = 54,849.48

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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.