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Finding the Fourth Proportional to 223,014.96, 307,758 and 121,040.58

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Solution

The fourth proportional to 223,014.96, 307,758 and 121,040.58 is: 167,034.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,014.96 : 307,758 = 121,040.58 : x
  2. Step 2: Convert to fraction form
    223,014.96/307,758 = 121,040.58/x
  3. Step 3: Cross multiply
    223,014.96x = 307,758 × 121,040.58
  4. Step 4: Simplify right side
    223,014.96x = 37,251,206,819.64
  5. Step 5: Solve for x
    x = 37,251,206,819.64/223,014.96
  6. Step 6: Final answer
    x = 167,034.56

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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.