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Finding the Fourth Proportional to 221,934, 306,270 and 121,332

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Solution

The fourth proportional to 221,934, 306,270 and 121,332 is: 167,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,934 : 306,270 = 121,332 : x
  2. Step 2: Convert to fraction form
    221,934/306,270 = 121,332/x
  3. Step 3: Cross multiply
    221,934x = 306,270 × 121,332
  4. Step 4: Simplify right side
    221,934x = 37,160,351,640
  5. Step 5: Solve for x
    x = 37,160,351,640/221,934
  6. Step 6: Final answer
    x = 167,438.75

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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.