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Finding the Fourth Proportional to 66,889, 100,340.22 and 17,641

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Solution

The fourth proportional to 66,889, 100,340.22 and 17,641 is: 26,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,889 : 100,340.22 = 17,641 : x
  2. Step 2: Convert to fraction form
    66,889/100,340.22 = 17,641/x
  3. Step 3: Cross multiply
    66,889x = 100,340.22 × 17,641
  4. Step 4: Simplify right side
    66,889x = 1,770,101,821.02
  5. Step 5: Solve for x
    x = 1,770,101,821.02/66,889
  6. Step 6: Final answer
    x = 26,463.27

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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.