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Finding the Fourth Proportional to 81,947, 113,085 and 45,648.20

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Solution

The fourth proportional to 81,947, 113,085 and 45,648.20 is: 62,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,947 : 113,085 = 45,648.20 : x
  2. Step 2: Convert to fraction form
    81,947/113,085 = 45,648.20/x
  3. Step 3: Cross multiply
    81,947x = 113,085 × 45,648.20
  4. Step 4: Simplify right side
    81,947x = 5,162,126,697
  5. Step 5: Solve for x
    x = 5,162,126,697/81,947
  6. Step 6: Final answer
    x = 62,993.48

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