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Finding the Fourth Proportional to 223,793.80, 308,842.40 and 121,826.05

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Solution

The fourth proportional to 223,793.80, 308,842.40 and 121,826.05 is: 168,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,793.80 : 308,842.40 = 121,826.05 : x
  2. Step 2: Convert to fraction form
    223,793.80/308,842.40 = 121,826.05/x
  3. Step 3: Cross multiply
    223,793.80x = 308,842.40 × 121,826.05
  4. Step 4: Simplify right side
    223,793.80x = 37,625,049,664.52
  5. Step 5: Solve for x
    x = 37,625,049,664.52/223,793.80
  6. Step 6: Final answer
    x = 168,123.74

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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.