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Finding the Fourth Proportional to 83,447.28, 115,170.84 and 47,638.80

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Solution

The fourth proportional to 83,447.28, 115,170.84 and 47,638.80 is: 65,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447.28 : 115,170.84 = 47,638.80 : x
  2. Step 2: Convert to fraction form
    83,447.28/115,170.84 = 47,638.80/x
  3. Step 3: Cross multiply
    83,447.28x = 115,170.84 × 47,638.80
  4. Step 4: Simplify right side
    83,447.28x = 5,486,600,612.59
  5. Step 5: Solve for x
    x = 5,486,600,612.59/83,447.28
  6. Step 6: Final answer
    x = 65,749.30

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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.