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Finding the Fourth Proportional to 53,802, 80,715.96 and 16,866

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Solution

The fourth proportional to 53,802, 80,715.96 and 16,866 is: 25,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,802 : 80,715.96 = 16,866 : x
  2. Step 2: Convert to fraction form
    53,802/80,715.96 = 16,866/x
  3. Step 3: Cross multiply
    53,802x = 80,715.96 × 16,866
  4. Step 4: Simplify right side
    53,802x = 1,361,355,381.36
  5. Step 5: Solve for x
    x = 1,361,355,381.36/53,802
  6. Step 6: Final answer
    x = 25,303.06

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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.