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Finding the Fourth Proportional to 100,314.48, 150,494.76 and 66,153.84

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Solution

The fourth proportional to 100,314.48, 150,494.76 and 66,153.84 is: 99,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314.48 : 150,494.76 = 66,153.84 : x
  2. Step 2: Convert to fraction form
    100,314.48/150,494.76 = 66,153.84/x
  3. Step 3: Cross multiply
    100,314.48x = 150,494.76 × 66,153.84
  4. Step 4: Simplify right side
    100,314.48x = 9,955,806,273.88
  5. Step 5: Solve for x
    x = 9,955,806,273.88/100,314.48
  6. Step 6: Final answer
    x = 99,245.95

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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.