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Finding the Fourth Proportional to 202,049.88, 278,821.92 and 111,404.40

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Solution

The fourth proportional to 202,049.88, 278,821.92 and 111,404.40 is: 153,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.88 : 278,821.92 = 111,404.40 : x
  2. Step 2: Convert to fraction form
    202,049.88/278,821.92 = 111,404.40/x
  3. Step 3: Cross multiply
    202,049.88x = 278,821.92 × 111,404.40
  4. Step 4: Simplify right side
    202,049.88x = 31,061,988,704.45
  5. Step 5: Solve for x
    x = 31,061,988,704.45/202,049.88
  6. Step 6: Final answer
    x = 153,734.26

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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.