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Finding the Fourth Proportional to 221,553.50, 305,743.84 and 120,951.50

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Solution

The fourth proportional to 221,553.50, 305,743.84 and 120,951.50 is: 166,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,553.50 : 305,743.84 = 120,951.50 : x
  2. Step 2: Convert to fraction form
    221,553.50/305,743.84 = 120,951.50/x
  3. Step 3: Cross multiply
    221,553.50x = 305,743.84 × 120,951.50
  4. Step 4: Simplify right side
    221,553.50x = 36,980,176,063.76
  5. Step 5: Solve for x
    x = 36,980,176,063.76/221,553.50
  6. Step 6: Final answer
    x = 166,913.08

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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.