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Finding the Fourth Proportional to 47,502.91, 71,243.83 and 21,190.87

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Solution

The fourth proportional to 47,502.91, 71,243.83 and 21,190.87 is: 31,781.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502.91 : 71,243.83 = 21,190.87 : x
  2. Step 2: Convert to fraction form
    47,502.91/71,243.83 = 21,190.87/x
  3. Step 3: Cross multiply
    47,502.91x = 71,243.83 × 21,190.87
  4. Step 4: Simplify right side
    47,502.91x = 1,509,718,739.83
  5. Step 5: Solve for x
    x = 1,509,718,739.83/47,502.91
  6. Step 6: Final answer
    x = 31,781.61

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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.