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Finding the Fourth Proportional to 47,963.56, 66,171 and 30,963.28

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Solution

The fourth proportional to 47,963.56, 66,171 and 30,963.28 is: 42,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.56 : 66,171 = 30,963.28 : x
  2. Step 2: Convert to fraction form
    47,963.56/66,171 = 30,963.28/x
  3. Step 3: Cross multiply
    47,963.56x = 66,171 × 30,963.28
  4. Step 4: Simplify right side
    47,963.56x = 2,048,871,200.88
  5. Step 5: Solve for x
    x = 2,048,871,200.88/47,963.56
  6. Step 6: Final answer
    x = 42,717.25

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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.