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Finding the Fourth Proportional to 221,689.92, 305,930.88 and 121,087.20

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Solution

The fourth proportional to 221,689.92, 305,930.88 and 121,087.20 is: 167,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689.92 : 305,930.88 = 121,087.20 : x
  2. Step 2: Convert to fraction form
    221,689.92/305,930.88 = 121,087.20/x
  3. Step 3: Cross multiply
    221,689.92x = 305,930.88 × 121,087.20
  4. Step 4: Simplify right side
    221,689.92x = 37,044,313,652.74
  5. Step 5: Solve for x
    x = 37,044,313,652.74/221,689.92
  6. Step 6: Final answer
    x = 167,099.68

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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.