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Finding the Fourth Proportional to 55,447, 83,171.22 and 18,511

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Solution

The fourth proportional to 55,447, 83,171.22 and 18,511 is: 27,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,447 : 83,171.22 = 18,511 : x
  2. Step 2: Convert to fraction form
    55,447/83,171.22 = 18,511/x
  3. Step 3: Cross multiply
    55,447x = 83,171.22 × 18,511
  4. Step 4: Simplify right side
    55,447x = 1,539,582,453.42
  5. Step 5: Solve for x
    x = 1,539,582,453.42/55,447
  6. Step 6: Final answer
    x = 27,766.74

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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.