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Finding the Fourth Proportional to 100,613.91, 150,942.65 and 30,498.51

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Solution

The fourth proportional to 100,613.91, 150,942.65 and 30,498.51 is: 45,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,613.91 : 150,942.65 = 30,498.51 : x
  2. Step 2: Convert to fraction form
    100,613.91/150,942.65 = 30,498.51/x
  3. Step 3: Cross multiply
    100,613.91x = 150,942.65 × 30,498.51
  4. Step 4: Simplify right side
    100,613.91x = 4,603,525,767.96
  5. Step 5: Solve for x
    x = 4,603,525,767.96/100,613.91
  6. Step 6: Final answer
    x = 45,754.37

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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.