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Finding the Fourth Proportional to 41,147.40, 61,706.70 and 21,419.40

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Solution

The fourth proportional to 41,147.40, 61,706.70 and 21,419.40 is: 32,121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,147.40 : 61,706.70 = 21,419.40 : x
  2. Step 2: Convert to fraction form
    41,147.40/61,706.70 = 21,419.40/x
  3. Step 3: Cross multiply
    41,147.40x = 61,706.70 × 21,419.40
  4. Step 4: Simplify right side
    41,147.40x = 1,321,720,489.98
  5. Step 5: Solve for x
    x = 1,321,720,489.98/41,147.40
  6. Step 6: Final answer
    x = 32,121.60

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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.