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Finding the Fourth Proportional to 209,006.72, 313,443.84 and 68,732.80

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Solution

The fourth proportional to 209,006.72, 313,443.84 and 68,732.80 is: 103,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,006.72 : 313,443.84 = 68,732.80 : x
  2. Step 2: Convert to fraction form
    209,006.72/313,443.84 = 68,732.80/x
  3. Step 3: Cross multiply
    209,006.72x = 313,443.84 × 68,732.80
  4. Step 4: Simplify right side
    209,006.72x = 21,543,872,765.95
  5. Step 5: Solve for x
    x = 21,543,872,765.95/209,006.72
  6. Step 6: Final answer
    x = 103,077.42

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1.5x scale

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.