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Finding the Fourth Proportional to 55,272.99, 82,889.09 and 19,724.80

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Solution

The fourth proportional to 55,272.99, 82,889.09 and 19,724.80 is: 29,579.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,272.99 : 82,889.09 = 19,724.80 : x
  2. Step 2: Convert to fraction form
    55,272.99/82,889.09 = 19,724.80/x
  3. Step 3: Cross multiply
    55,272.99x = 82,889.09 × 19,724.80
  4. Step 4: Simplify right side
    55,272.99x = 1,634,970,565.85
  5. Step 5: Solve for x
    x = 1,634,970,565.85/55,272.99
  6. Step 6: Final answer
    x = 29,579.92

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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.