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Finding the Fourth Proportional to 47,921.67, 71,887.50 and 18,364.50

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Solution

The fourth proportional to 47,921.67, 71,887.50 and 18,364.50 is: 27,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,921.67 : 71,887.50 = 18,364.50 : x
  2. Step 2: Convert to fraction form
    47,921.67/71,887.50 = 18,364.50/x
  3. Step 3: Cross multiply
    47,921.67x = 71,887.50 × 18,364.50
  4. Step 4: Simplify right side
    47,921.67x = 1,320,177,993.75
  5. Step 5: Solve for x
    x = 1,320,177,993.75/47,921.67
  6. Step 6: Final answer
    x = 27,548.66

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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.