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Finding the Fourth Proportional to 221,932, 306,267.24 and 121,330

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Solution

The fourth proportional to 221,932, 306,267.24 and 121,330 is: 167,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,932 : 306,267.24 = 121,330 : x
  2. Step 2: Convert to fraction form
    221,932/306,267.24 = 121,330/x
  3. Step 3: Cross multiply
    221,932x = 306,267.24 × 121,330
  4. Step 4: Simplify right side
    221,932x = 37,159,404,229.20
  5. Step 5: Solve for x
    x = 37,159,404,229.20/221,932
  6. Step 6: Final answer
    x = 167,435.99

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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.