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Finding the Fourth Proportional to 223,003.76, 307,745.46 and 121,029.30

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Solution

The fourth proportional to 223,003.76, 307,745.46 and 121,029.30 is: 167,020.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,003.76 : 307,745.46 = 121,029.30 : x
  2. Step 2: Convert to fraction form
    223,003.76/307,745.46 = 121,029.30/x
  3. Step 3: Cross multiply
    223,003.76x = 307,745.46 × 121,029.30
  4. Step 4: Simplify right side
    223,003.76x = 37,246,217,601.98
  5. Step 5: Solve for x
    x = 37,246,217,601.98/223,003.76
  6. Step 6: Final answer
    x = 167,020.58

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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.