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Finding the Fourth Proportional to 69,872.16, 96,418.71 and 39,658.09

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Solution

The fourth proportional to 69,872.16, 96,418.71 and 39,658.09 is: 54,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872.16 : 96,418.71 = 39,658.09 : x
  2. Step 2: Convert to fraction form
    69,872.16/96,418.71 = 39,658.09/x
  3. Step 3: Cross multiply
    69,872.16x = 96,418.71 × 39,658.09
  4. Step 4: Simplify right side
    69,872.16x = 3,823,781,878.86
  5. Step 5: Solve for x
    x = 3,823,781,878.86/69,872.16
  6. Step 6: Final answer
    x = 54,725.40

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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.