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Finding the Fourth Proportional to 100,203, 138,284.46 and 55,491

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Solution

The fourth proportional to 100,203, 138,284.46 and 55,491 is: 76,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,203 : 138,284.46 = 55,491 : x
  2. Step 2: Convert to fraction form
    100,203/138,284.46 = 55,491/x
  3. Step 3: Cross multiply
    100,203x = 138,284.46 × 55,491
  4. Step 4: Simplify right side
    100,203x = 7,673,542,969.86
  5. Step 5: Solve for x
    x = 7,673,542,969.86/100,203
  6. Step 6: Final answer
    x = 76,579.97

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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.