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Finding the Fourth Proportional to 223,793.41, 308,838.84 and 121,821.80

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Solution

The fourth proportional to 223,793.41, 308,838.84 and 121,821.80 is: 168,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,793.41 : 308,838.84 = 121,821.80 : x
  2. Step 2: Convert to fraction form
    223,793.41/308,838.84 = 121,821.80/x
  3. Step 3: Cross multiply
    223,793.41x = 308,838.84 × 121,821.80
  4. Step 4: Simplify right side
    223,793.41x = 37,623,303,398.71
  5. Step 5: Solve for x
    x = 37,623,303,398.71/223,793.41
  6. Step 6: Final answer
    x = 168,116.23

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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.