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Finding the Fourth Proportional to 100,126.86, 150,204.87 and 30,011.64

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Solution

The fourth proportional to 100,126.86, 150,204.87 and 30,011.64 is: 45,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,126.86 : 150,204.87 = 30,011.64 : x
  2. Step 2: Convert to fraction form
    100,126.86/150,204.87 = 30,011.64/x
  3. Step 3: Cross multiply
    100,126.86x = 150,204.87 × 30,011.64
  4. Step 4: Simplify right side
    100,126.86x = 4,507,894,484.69
  5. Step 5: Solve for x
    x = 4,507,894,484.69/100,126.86
  6. Step 6: Final answer
    x = 45,021.83

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1.5x scale

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.