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Finding the Fourth Proportional to 221,753.43, 306,019.71 and 121,151.43

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Solution

The fourth proportional to 221,753.43, 306,019.71 and 121,151.43 is: 167,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,753.43 : 306,019.71 = 121,151.43 : x
  2. Step 2: Convert to fraction form
    221,753.43/306,019.71 = 121,151.43/x
  3. Step 3: Cross multiply
    221,753.43x = 306,019.71 × 121,151.43
  4. Step 4: Simplify right side
    221,753.43x = 37,074,725,474.69
  5. Step 5: Solve for x
    x = 37,074,725,474.69/221,753.43
  6. Step 6: Final answer
    x = 167,188.96

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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.