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Finding the Fourth Proportional to 100,142.16, 150,360.84 and 55,855.44

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Solution

The fourth proportional to 100,142.16, 150,360.84 and 55,855.44 is: 83,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,142.16 : 150,360.84 = 55,855.44 : x
  2. Step 2: Convert to fraction form
    100,142.16/150,360.84 = 55,855.44/x
  3. Step 3: Cross multiply
    100,142.16x = 150,360.84 × 55,855.44
  4. Step 4: Simplify right side
    100,142.16x = 8,398,470,876.97
  5. Step 5: Solve for x
    x = 8,398,470,876.97/100,142.16
  6. Step 6: Final answer
    x = 83,865.49

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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.