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Finding the Fourth Proportional to 100,251, 150,376.50 and 30,130.38

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Solution

The fourth proportional to 100,251, 150,376.50 and 30,130.38 is: 45,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,251 : 150,376.50 = 30,130.38 : x
  2. Step 2: Convert to fraction form
    100,251/150,376.50 = 30,130.38/x
  3. Step 3: Cross multiply
    100,251x = 150,376.50 × 30,130.38
  4. Step 4: Simplify right side
    100,251x = 4,530,901,088.07
  5. Step 5: Solve for x
    x = 4,530,901,088.07/100,251
  6. Step 6: Final answer
    x = 45,195.57

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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.