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Finding the Fourth Proportional to 47,865.88, 71,961 and 38,571.16

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Solution

The fourth proportional to 47,865.88, 71,961 and 38,571.16 is: 57,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,865.88 : 71,961 = 38,571.16 : x
  2. Step 2: Convert to fraction form
    47,865.88/71,961 = 38,571.16/x
  3. Step 3: Cross multiply
    47,865.88x = 71,961 × 38,571.16
  4. Step 4: Simplify right side
    47,865.88x = 2,775,619,244.76
  5. Step 5: Solve for x
    x = 2,775,619,244.76/47,865.88
  6. Step 6: Final answer
    x = 57,987.43

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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.