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Finding the Fourth Proportional to 57,278.22, 85,896.72 and 19,828.14

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Solution

The fourth proportional to 57,278.22, 85,896.72 and 19,828.14 is: 29,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,278.22 : 85,896.72 = 19,828.14 : x
  2. Step 2: Convert to fraction form
    57,278.22/85,896.72 = 19,828.14/x
  3. Step 3: Cross multiply
    57,278.22x = 85,896.72 × 19,828.14
  4. Step 4: Simplify right side
    57,278.22x = 1,703,172,189.70
  5. Step 5: Solve for x
    x = 1,703,172,189.70/57,278.22
  6. Step 6: Final answer
    x = 29,735.08

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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.