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Finding the Fourth Proportional to 100,205.75, 138,217.41 and 64,441.01

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Solution

The fourth proportional to 100,205.75, 138,217.41 and 64,441.01 is: 88,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,205.75 : 138,217.41 = 64,441.01 : x
  2. Step 2: Convert to fraction form
    100,205.75/138,217.41 = 64,441.01/x
  3. Step 3: Cross multiply
    100,205.75x = 138,217.41 × 64,441.01
  4. Step 4: Simplify right side
    100,205.75x = 8,906,869,845.53
  5. Step 5: Solve for x
    x = 8,906,869,845.53/100,205.75
  6. Step 6: Final answer
    x = 88,885.81

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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.