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Finding the Fourth Proportional to 47,862, 66,049.56 and 27,990

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Solution

The fourth proportional to 47,862, 66,049.56 and 27,990 is: 38,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,862 : 66,049.56 = 27,990 : x
  2. Step 2: Convert to fraction form
    47,862/66,049.56 = 27,990/x
  3. Step 3: Cross multiply
    47,862x = 66,049.56 × 27,990
  4. Step 4: Simplify right side
    47,862x = 1,848,727,184.40
  5. Step 5: Solve for x
    x = 1,848,727,184.40/47,862
  6. Step 6: Final answer
    x = 38,626.20

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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.