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Finding the Fourth Proportional to 83,517.66, 115,258.68 and 47,711.64

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Solution

The fourth proportional to 83,517.66, 115,258.68 and 47,711.64 is: 65,844.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,517.66 : 115,258.68 = 47,711.64 : x
  2. Step 2: Convert to fraction form
    83,517.66/115,258.68 = 47,711.64/x
  3. Step 3: Cross multiply
    83,517.66x = 115,258.68 × 47,711.64
  4. Step 4: Simplify right side
    83,517.66x = 5,499,180,647.04
  5. Step 5: Solve for x
    x = 5,499,180,647.04/83,517.66
  6. Step 6: Final answer
    x = 65,844.52

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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.