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Finding the Fourth Proportional to 221,235, 305,304.30 and 120,633.24

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Solution

The fourth proportional to 221,235, 305,304.30 and 120,633.24 is: 166,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,235 : 305,304.30 = 120,633.24 : x
  2. Step 2: Convert to fraction form
    221,235/305,304.30 = 120,633.24/x
  3. Step 3: Cross multiply
    221,235x = 305,304.30 × 120,633.24
  4. Step 4: Simplify right side
    221,235x = 36,829,846,894.93
  5. Step 5: Solve for x
    x = 36,829,846,894.93/221,235
  6. Step 6: Final answer
    x = 166,473.87

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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.