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Finding the Fourth Proportional to 47,772.46, 71,560.14 and 27,991

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Solution

The fourth proportional to 47,772.46, 71,560.14 and 27,991 is: 41,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,772.46 : 71,560.14 = 27,991 : x
  2. Step 2: Convert to fraction form
    47,772.46/71,560.14 = 27,991/x
  3. Step 3: Cross multiply
    47,772.46x = 71,560.14 × 27,991
  4. Step 4: Simplify right side
    47,772.46x = 2,003,039,878.74
  5. Step 5: Solve for x
    x = 2,003,039,878.74/47,772.46
  6. Step 6: Final answer
    x = 41,928.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.