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Finding the Fourth Proportional to 252,098.82, 347,896.37 and 138,921.57

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Solution

The fourth proportional to 252,098.82, 347,896.37 and 138,921.57 is: 191,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098.82 : 347,896.37 = 138,921.57 : x
  2. Step 2: Convert to fraction form
    252,098.82/347,896.37 = 138,921.57/x
  3. Step 3: Cross multiply
    252,098.82x = 347,896.37 × 138,921.57
  4. Step 4: Simplify right side
    252,098.82x = 48,330,309,223.09
  5. Step 5: Solve for x
    x = 48,330,309,223.09/252,098.82
  6. Step 6: Final answer
    x = 191,711.76

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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.