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Finding the Fourth Proportional to 100,576.25, 150,919.65 and 61,161.05

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Solution

The fourth proportional to 100,576.25, 150,919.65 and 61,161.05 is: 91,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,576.25 : 150,919.65 = 61,161.05 : x
  2. Step 2: Convert to fraction form
    100,576.25/150,919.65 = 61,161.05/x
  3. Step 3: Cross multiply
    100,576.25x = 150,919.65 × 61,161.05
  4. Step 4: Simplify right side
    100,576.25x = 9,230,403,505.03
  5. Step 5: Solve for x
    x = 9,230,403,505.03/100,576.25
  6. Step 6: Final answer
    x = 91,775.19

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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.