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Finding the Fourth Proportional to 100,761.72, 151,164.42 and 30,639.18

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Solution

The fourth proportional to 100,761.72, 151,164.42 and 30,639.18 is: 45,965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,761.72 : 151,164.42 = 30,639.18 : x
  2. Step 2: Convert to fraction form
    100,761.72/151,164.42 = 30,639.18/x
  3. Step 3: Cross multiply
    100,761.72x = 151,164.42 × 30,639.18
  4. Step 4: Simplify right side
    100,761.72x = 4,631,553,873.98
  5. Step 5: Solve for x
    x = 4,631,553,873.98/100,761.72
  6. Step 6: Final answer
    x = 45,965.41

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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.