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Finding the Fourth Proportional to 209,218.90, 288,718.68 and 113,728

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Solution

The fourth proportional to 209,218.90, 288,718.68 and 113,728 is: 156,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,218.90 : 288,718.68 = 113,728 : x
  2. Step 2: Convert to fraction form
    209,218.90/288,718.68 = 113,728/x
  3. Step 3: Cross multiply
    209,218.90x = 288,718.68 × 113,728
  4. Step 4: Simplify right side
    209,218.90x = 32,835,398,039.04
  5. Step 5: Solve for x
    x = 32,835,398,039.04/209,218.90
  6. Step 6: Final answer
    x = 156,942.79

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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.