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Finding the Fourth Proportional to 202,034.14, 278,839.95 and 121,543

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Solution

The fourth proportional to 202,034.14, 278,839.95 and 121,543 is: 167,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,034.14 : 278,839.95 = 121,543 : x
  2. Step 2: Convert to fraction form
    202,034.14/278,839.95 = 121,543/x
  3. Step 3: Cross multiply
    202,034.14x = 278,839.95 × 121,543
  4. Step 4: Simplify right side
    202,034.14x = 33,891,044,042.85
  5. Step 5: Solve for x
    x = 33,891,044,042.85/202,034.14
  6. Step 6: Final answer
    x = 167,749.09

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1.5x scale

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.