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Finding the Fourth Proportional to 202,062.27, 278,843.71 and 111,426.20

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Solution

The fourth proportional to 202,062.27, 278,843.71 and 111,426.20 is: 153,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,062.27 : 278,843.71 = 111,426.20 : x
  2. Step 2: Convert to fraction form
    202,062.27/278,843.71 = 111,426.20/x
  3. Step 3: Cross multiply
    202,062.27x = 278,843.71 × 111,426.20
  4. Step 4: Simplify right side
    202,062.27x = 31,070,494,999.20
  5. Step 5: Solve for x
    x = 31,070,494,999.20/202,062.27
  6. Step 6: Final answer
    x = 153,766.93

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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.