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Finding the Fourth Proportional to 201,732.57, 278,391.74 and 121,161.47

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Solution

The fourth proportional to 201,732.57, 278,391.74 and 121,161.47 is: 167,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732.57 : 278,391.74 = 121,161.47 : x
  2. Step 2: Convert to fraction form
    201,732.57/278,391.74 = 121,161.47/x
  3. Step 3: Cross multiply
    201,732.57x = 278,391.74 × 121,161.47
  4. Step 4: Simplify right side
    201,732.57x = 33,730,350,456.49
  5. Step 5: Solve for x
    x = 33,730,350,456.49/201,732.57
  6. Step 6: Final answer
    x = 167,203.30

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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.