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Finding the Fourth Proportional to 71,021.80, 98,016 and 39,197.60

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Solution

The fourth proportional to 71,021.80, 98,016 and 39,197.60 is: 54,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,021.80 : 98,016 = 39,197.60 : x
  2. Step 2: Convert to fraction form
    71,021.80/98,016 = 39,197.60/x
  3. Step 3: Cross multiply
    71,021.80x = 98,016 × 39,197.60
  4. Step 4: Simplify right side
    71,021.80x = 3,841,991,961.60
  5. Step 5: Solve for x
    x = 3,841,991,961.60/71,021.80
  6. Step 6: Final answer
    x = 54,095.95

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1.5x scale

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.