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Finding the Fourth Proportional to 54,974.77, 82,406.76 and 21,681.97

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Solution

The fourth proportional to 54,974.77, 82,406.76 and 21,681.97 is: 32,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.77 : 82,406.76 = 21,681.97 : x
  2. Step 2: Convert to fraction form
    54,974.77/82,406.76 = 21,681.97/x
  3. Step 3: Cross multiply
    54,974.77x = 82,406.76 × 21,681.97
  4. Step 4: Simplify right side
    54,974.77x = 1,786,740,898.12
  5. Step 5: Solve for x
    x = 1,786,740,898.12/54,974.77
  6. Step 6: Final answer
    x = 32,501.11

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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.