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Finding the Fourth Proportional to 54,228.80, 81,345.72 and 19,172

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Solution

The fourth proportional to 54,228.80, 81,345.72 and 19,172 is: 28,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,228.80 : 81,345.72 = 19,172 : x
  2. Step 2: Convert to fraction form
    54,228.80/81,345.72 = 19,172/x
  3. Step 3: Cross multiply
    54,228.80x = 81,345.72 × 19,172
  4. Step 4: Simplify right side
    54,228.80x = 1,559,560,143.84
  5. Step 5: Solve for x
    x = 1,559,560,143.84/54,228.80
  6. Step 6: Final answer
    x = 28,758.89

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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.