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Finding the Fourth Proportional to 223,211.96, 308,034.74 and 121,239.42

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Solution

The fourth proportional to 223,211.96, 308,034.74 and 121,239.42 is: 167,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,211.96 : 308,034.74 = 121,239.42 : x
  2. Step 2: Convert to fraction form
    223,211.96/308,034.74 = 121,239.42/x
  3. Step 3: Cross multiply
    223,211.96x = 308,034.74 × 121,239.42
  4. Step 4: Simplify right side
    223,211.96x = 37,345,953,217.45
  5. Step 5: Solve for x
    x = 37,345,953,217.45/223,211.96
  6. Step 6: Final answer
    x = 167,311.61

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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.