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Finding the Fourth Proportional to 66,796.32, 100,205.37 and 31,724.13

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Solution

The fourth proportional to 66,796.32, 100,205.37 and 31,724.13 is: 47,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,796.32 : 100,205.37 = 31,724.13 : x
  2. Step 2: Convert to fraction form
    66,796.32/100,205.37 = 31,724.13/x
  3. Step 3: Cross multiply
    66,796.32x = 100,205.37 × 31,724.13
  4. Step 4: Simplify right side
    66,796.32x = 3,178,928,184.58
  5. Step 5: Solve for x
    x = 3,178,928,184.58/66,796.32
  6. Step 6: Final answer
    x = 47,591.37

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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.