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Finding the Fourth Proportional to 55,153.99, 82,671.75 and 21,827.75

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Solution

The fourth proportional to 55,153.99, 82,671.75 and 21,827.75 is: 32,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,153.99 : 82,671.75 = 21,827.75 : x
  2. Step 2: Convert to fraction form
    55,153.99/82,671.75 = 21,827.75/x
  3. Step 3: Cross multiply
    55,153.99x = 82,671.75 × 21,827.75
  4. Step 4: Simplify right side
    55,153.99x = 1,804,538,497.74
  5. Step 5: Solve for x
    x = 1,804,538,497.74/55,153.99
  6. Step 6: Final answer
    x = 32,718.19

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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.