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Finding the Fourth Proportional to 47,879.71, 71,816.86 and 21,218.02

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Solution

The fourth proportional to 47,879.71, 71,816.86 and 21,218.02 is: 31,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,879.71 : 71,816.86 = 21,218.02 : x
  2. Step 2: Convert to fraction form
    47,879.71/71,816.86 = 21,218.02/x
  3. Step 3: Cross multiply
    47,879.71x = 71,816.86 × 21,218.02
  4. Step 4: Simplify right side
    47,879.71x = 1,523,811,392.28
  5. Step 5: Solve for x
    x = 1,523,811,392.28/47,879.71
  6. Step 6: Final answer
    x = 31,825.83

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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.