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Finding the Fourth Proportional to 61,198.56, 91,789.20 and 19,640.16

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Solution

The fourth proportional to 61,198.56, 91,789.20 and 19,640.16 is: 29,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.56 : 91,789.20 = 19,640.16 : x
  2. Step 2: Convert to fraction form
    61,198.56/91,789.20 = 19,640.16/x
  3. Step 3: Cross multiply
    61,198.56x = 91,789.20 × 19,640.16
  4. Step 4: Simplify right side
    61,198.56x = 1,802,754,574.27
  5. Step 5: Solve for x
    x = 1,802,754,574.27/61,198.56
  6. Step 6: Final answer
    x = 29,457.47

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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.