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Finding the Fourth Proportional to 66,726, 100,089.04 and 31,646.56

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Solution

The fourth proportional to 66,726, 100,089.04 and 31,646.56 is: 47,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,726 : 100,089.04 = 31,646.56 : x
  2. Step 2: Convert to fraction form
    66,726/100,089.04 = 31,646.56/x
  3. Step 3: Cross multiply
    66,726x = 100,089.04 × 31,646.56
  4. Step 4: Simplify right side
    66,726x = 3,167,473,809.70
  5. Step 5: Solve for x
    x = 3,167,473,809.70/66,726
  6. Step 6: Final answer
    x = 47,469.86

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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.