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Finding the Fourth Proportional to 209,064.33, 313,617.17 and 66,873.90

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Solution

The fourth proportional to 209,064.33, 313,617.17 and 66,873.90 is: 100,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,064.33 : 313,617.17 = 66,873.90 : x
  2. Step 2: Convert to fraction form
    209,064.33/313,617.17 = 66,873.90/x
  3. Step 3: Cross multiply
    209,064.33x = 313,617.17 × 66,873.90
  4. Step 4: Simplify right side
    209,064.33x = 20,972,804,231.95
  5. Step 5: Solve for x
    x = 20,972,804,231.95/209,064.33
  6. Step 6: Final answer
    x = 100,317.47

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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.