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Finding the Fourth Proportional to 137,115.90, 205,590.78 and 89,673.69

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Solution

The fourth proportional to 137,115.90, 205,590.78 and 89,673.69 is: 134,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,115.90 : 205,590.78 = 89,673.69 : x
  2. Step 2: Convert to fraction form
    137,115.90/205,590.78 = 89,673.69/x
  3. Step 3: Cross multiply
    137,115.90x = 205,590.78 × 89,673.69
  4. Step 4: Simplify right side
    137,115.90x = 18,436,083,872.58
  5. Step 5: Solve for x
    x = 18,436,083,872.58/137,115.90
  6. Step 6: Final answer
    x = 134,456.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.