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Finding the Fourth Proportional to 47,912.40, 66,119.76 and 27,770.40

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Solution

The fourth proportional to 47,912.40, 66,119.76 and 27,770.40 is: 38,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,912.40 : 66,119.76 = 27,770.40 : x
  2. Step 2: Convert to fraction form
    47,912.40/66,119.76 = 27,770.40/x
  3. Step 3: Cross multiply
    47,912.40x = 66,119.76 × 27,770.40
  4. Step 4: Simplify right side
    47,912.40x = 1,836,172,183.10
  5. Step 5: Solve for x
    x = 1,836,172,183.10/47,912.40
  6. Step 6: Final answer
    x = 38,323.53

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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.