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Finding the Fourth Proportional to 100,642.69, 150,954.31 and 30,522.61

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Solution

The fourth proportional to 100,642.69, 150,954.31 and 30,522.61 is: 45,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.69 : 150,954.31 = 30,522.61 : x
  2. Step 2: Convert to fraction form
    100,642.69/150,954.31 = 30,522.61/x
  3. Step 3: Cross multiply
    100,642.69x = 150,954.31 × 30,522.61
  4. Step 4: Simplify right side
    100,642.69x = 4,607,519,531.95
  5. Step 5: Solve for x
    x = 4,607,519,531.95/100,642.69
  6. Step 6: Final answer
    x = 45,780.97

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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.