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Finding the Fourth Proportional to 100,177.94, 150,045.24 and 68,512.88

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Solution

The fourth proportional to 100,177.94, 150,045.24 and 68,512.88 is: 102,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,177.94 : 150,045.24 = 68,512.88 : x
  2. Step 2: Convert to fraction form
    100,177.94/150,045.24 = 68,512.88/x
  3. Step 3: Cross multiply
    100,177.94x = 150,045.24 × 68,512.88
  4. Step 4: Simplify right side
    100,177.94x = 10,280,031,522.69
  5. Step 5: Solve for x
    x = 10,280,031,522.69/100,177.94
  6. Step 6: Final answer
    x = 102,617.72

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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.