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Finding the Fourth Proportional to 100,134, 150,102.12 and 55,781.64

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Solution

The fourth proportional to 100,134, 150,102.12 and 55,781.64 is: 83,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134 : 150,102.12 = 55,781.64 : x
  2. Step 2: Convert to fraction form
    100,134/150,102.12 = 55,781.64/x
  3. Step 3: Cross multiply
    100,134x = 150,102.12 × 55,781.64
  4. Step 4: Simplify right side
    100,134x = 8,372,942,421.08
  5. Step 5: Solve for x
    x = 8,372,942,421.08/100,134
  6. Step 6: Final answer
    x = 83,617.38

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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.