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Finding the Fourth Proportional to 54,786.52, 82,130.42 and 19,701.50

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Solution

The fourth proportional to 54,786.52, 82,130.42 and 19,701.50 is: 29,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,786.52 : 82,130.42 = 19,701.50 : x
  2. Step 2: Convert to fraction form
    54,786.52/82,130.42 = 19,701.50/x
  3. Step 3: Cross multiply
    54,786.52x = 82,130.42 × 19,701.50
  4. Step 4: Simplify right side
    54,786.52x = 1,618,092,469.63
  5. Step 5: Solve for x
    x = 1,618,092,469.63/54,786.52
  6. Step 6: Final answer
    x = 29,534.50

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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.