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Finding the Fourth Proportional to 69,630, 96,089.52 and 39,822

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Solution

The fourth proportional to 69,630, 96,089.52 and 39,822 is: 54,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,630 : 96,089.52 = 39,822 : x
  2. Step 2: Convert to fraction form
    69,630/96,089.52 = 39,822/x
  3. Step 3: Cross multiply
    69,630x = 96,089.52 × 39,822
  4. Step 4: Simplify right side
    69,630x = 3,826,476,865.44
  5. Step 5: Solve for x
    x = 3,826,476,865.44/69,630
  6. Step 6: Final answer
    x = 54,954.43

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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.