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Finding the Fourth Proportional to 87,715, 121,049.58 and 47,971

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Solution

The fourth proportional to 87,715, 121,049.58 and 47,971 is: 66,201.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,715 : 121,049.58 = 47,971 : x
  2. Step 2: Convert to fraction form
    87,715/121,049.58 = 47,971/x
  3. Step 3: Cross multiply
    87,715x = 121,049.58 × 47,971
  4. Step 4: Simplify right side
    87,715x = 5,806,869,402.18
  5. Step 5: Solve for x
    x = 5,806,869,402.18/87,715
  6. Step 6: Final answer
    x = 66,201.56

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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.