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Finding the Fourth Proportional to 118,971.10, 164,193.84 and 71,224.42

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Solution

The fourth proportional to 118,971.10, 164,193.84 and 71,224.42 is: 98,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,971.10 : 164,193.84 = 71,224.42 : x
  2. Step 2: Convert to fraction form
    118,971.10/164,193.84 = 71,224.42/x
  3. Step 3: Cross multiply
    118,971.10x = 164,193.84 × 71,224.42
  4. Step 4: Simplify right side
    118,971.10x = 11,694,611,021.57
  5. Step 5: Solve for x
    x = 11,694,611,021.57/118,971.10
  6. Step 6: Final answer
    x = 98,297.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.