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Finding the Fourth Proportional to 54,989.22, 82,483.83 and 19,917.30

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Solution

The fourth proportional to 54,989.22, 82,483.83 and 19,917.30 is: 29,875.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,989.22 : 82,483.83 = 19,917.30 : x
  2. Step 2: Convert to fraction form
    54,989.22/82,483.83 = 19,917.30/x
  3. Step 3: Cross multiply
    54,989.22x = 82,483.83 × 19,917.30
  4. Step 4: Simplify right side
    54,989.22x = 1,642,855,187.26
  5. Step 5: Solve for x
    x = 1,642,855,187.26/54,989.22
  6. Step 6: Final answer
    x = 29,875.95

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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.