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Finding the Fourth Proportional to 202,438.74, 279,103.41 and 138,662.58

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Solution

The fourth proportional to 202,438.74, 279,103.41 and 138,662.58 is: 191,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,438.74 : 279,103.41 = 138,662.58 : x
  2. Step 2: Convert to fraction form
    202,438.74/279,103.41 = 138,662.58/x
  3. Step 3: Cross multiply
    202,438.74x = 279,103.41 × 138,662.58
  4. Step 4: Simplify right side
    202,438.74x = 38,701,198,917.40
  5. Step 5: Solve for x
    x = 38,701,198,917.40/202,438.74
  6. Step 6: Final answer
    x = 191,174.87

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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.