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Finding the Fourth Proportional to 54,896.93, 82,373.03 and 21,640.86

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Solution

The fourth proportional to 54,896.93, 82,373.03 and 21,640.86 is: 32,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,896.93 : 82,373.03 = 21,640.86 : x
  2. Step 2: Convert to fraction form
    54,896.93/82,373.03 = 21,640.86/x
  3. Step 3: Cross multiply
    54,896.93x = 82,373.03 × 21,640.86
  4. Step 4: Simplify right side
    54,896.93x = 1,782,623,210.01
  5. Step 5: Solve for x
    x = 1,782,623,210.01/54,896.93
  6. Step 6: Final answer
    x = 32,472.18

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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.