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Finding the Fourth Proportional to 100,377.64, 150,380.31 and 71,855.71

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Solution

The fourth proportional to 100,377.64, 150,380.31 and 71,855.71 is: 107,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,377.64 : 150,380.31 = 71,855.71 : x
  2. Step 2: Convert to fraction form
    100,377.64/150,380.31 = 71,855.71/x
  3. Step 3: Cross multiply
    100,377.64x = 150,380.31 × 71,855.71
  4. Step 4: Simplify right side
    100,377.64x = 10,805,683,945.07
  5. Step 5: Solve for x
    x = 10,805,683,945.07/100,377.64
  6. Step 6: Final answer
    x = 107,650.31

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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.