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Finding the Fourth Proportional to 223,793.21, 308,838.57 and 121,821.61

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Solution

The fourth proportional to 223,793.21, 308,838.57 and 121,821.61 is: 168,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,793.21 : 308,838.57 = 121,821.61 : x
  2. Step 2: Convert to fraction form
    223,793.21/308,838.57 = 121,821.61/x
  3. Step 3: Cross multiply
    223,793.21x = 308,838.57 × 121,821.61
  4. Step 4: Simplify right side
    223,793.21x = 37,623,210,283.30
  5. Step 5: Solve for x
    x = 37,623,210,283.30/223,793.21
  6. Step 6: Final answer
    x = 168,115.96

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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.