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Finding the Fourth Proportional to 220,622.54, 330,966.61 and 102,305.84

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Solution

The fourth proportional to 220,622.54, 330,966.61 and 102,305.84 is: 153,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,622.54 : 330,966.61 = 102,305.84 : x
  2. Step 2: Convert to fraction form
    220,622.54/330,966.61 = 102,305.84/x
  3. Step 3: Cross multiply
    220,622.54x = 330,966.61 × 102,305.84
  4. Step 4: Simplify right side
    220,622.54x = 33,859,815,137.40
  5. Step 5: Solve for x
    x = 33,859,815,137.40/220,622.54
  6. Step 6: Final answer
    x = 153,473.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.