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Finding the Fourth Proportional to 100,509.89, 150,786.70 and 30,387.38

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Solution

The fourth proportional to 100,509.89, 150,786.70 and 30,387.38 is: 45,587.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,509.89 : 150,786.70 = 30,387.38 : x
  2. Step 2: Convert to fraction form
    100,509.89/150,786.70 = 30,387.38/x
  3. Step 3: Cross multiply
    100,509.89x = 150,786.70 × 30,387.38
  4. Step 4: Simplify right side
    100,509.89x = 4,582,011,921.94
  5. Step 5: Solve for x
    x = 4,582,011,921.94/100,509.89
  6. Step 6: Final answer
    x = 45,587.67

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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.