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Finding the Fourth Proportional to 199,987.80, 300,176.10 and 121,255.80

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Solution

The fourth proportional to 199,987.80, 300,176.10 and 121,255.80 is: 182,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,987.80 : 300,176.10 = 121,255.80 : x
  2. Step 2: Convert to fraction form
    199,987.80/300,176.10 = 121,255.80/x
  3. Step 3: Cross multiply
    199,987.80x = 300,176.10 × 121,255.80
  4. Step 4: Simplify right side
    199,987.80x = 36,398,093,146.38
  5. Step 5: Solve for x
    x = 36,398,093,146.38/199,987.80
  6. Step 6: Final answer
    x = 182,001.57

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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.