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Finding the Fourth Proportional to 209,872.52, 314,805.84 and 119,722.85

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Solution

The fourth proportional to 209,872.52, 314,805.84 and 119,722.85 is: 179,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.52 : 314,805.84 = 119,722.85 : x
  2. Step 2: Convert to fraction form
    209,872.52/314,805.84 = 119,722.85/x
  3. Step 3: Cross multiply
    209,872.52x = 314,805.84 × 119,722.85
  4. Step 4: Simplify right side
    209,872.52x = 37,689,450,787.41
  5. Step 5: Solve for x
    x = 37,689,450,787.41/209,872.52
  6. Step 6: Final answer
    x = 179,582.59

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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.