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Finding the Fourth Proportional to 100,640.88, 150,961.32 and 45,172.08

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Solution

The fourth proportional to 100,640.88, 150,961.32 and 45,172.08 is: 67,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,640.88 : 150,961.32 = 45,172.08 : x
  2. Step 2: Convert to fraction form
    100,640.88/150,961.32 = 45,172.08/x
  3. Step 3: Cross multiply
    100,640.88x = 150,961.32 × 45,172.08
  4. Step 4: Simplify right side
    100,640.88x = 6,819,236,823.95
  5. Step 5: Solve for x
    x = 6,819,236,823.95/100,640.88
  6. Step 6: Final answer
    x = 67,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.