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Finding the Fourth Proportional to 100,238, 138,328.44 and 60,494

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Solution

The fourth proportional to 100,238, 138,328.44 and 60,494 is: 83,481.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,238 : 138,328.44 = 60,494 : x
  2. Step 2: Convert to fraction form
    100,238/138,328.44 = 60,494/x
  3. Step 3: Cross multiply
    100,238x = 138,328.44 × 60,494
  4. Step 4: Simplify right side
    100,238x = 8,368,040,649.36
  5. Step 5: Solve for x
    x = 8,368,040,649.36/100,238
  6. Step 6: Final answer
    x = 83,481.72

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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.