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Finding the Fourth Proportional to 54,686.33, 82,036.34 and 21,402.10

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Solution

The fourth proportional to 54,686.33, 82,036.34 and 21,402.10 is: 32,105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686.33 : 82,036.34 = 21,402.10 : x
  2. Step 2: Convert to fraction form
    54,686.33/82,036.34 = 21,402.10/x
  3. Step 3: Cross multiply
    54,686.33x = 82,036.34 × 21,402.10
  4. Step 4: Simplify right side
    54,686.33x = 1,755,749,952.31
  5. Step 5: Solve for x
    x = 1,755,749,952.31/54,686.33
  6. Step 6: Final answer
    x = 32,105.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.