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Finding the Fourth Proportional to 54,823, 82,246.02 and 21,991

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Solution

The fourth proportional to 54,823, 82,246.02 and 21,991 is: 32,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823 : 82,246.02 = 21,991 : x
  2. Step 2: Convert to fraction form
    54,823/82,246.02 = 21,991/x
  3. Step 3: Cross multiply
    54,823x = 82,246.02 × 21,991
  4. Step 4: Simplify right side
    54,823x = 1,808,672,225.82
  5. Step 5: Solve for x
    x = 1,808,672,225.82/54,823
  6. Step 6: Final answer
    x = 32,991.12

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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.