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Finding the Fourth Proportional to 55,759, 83,651.46 and 18,823

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Solution

The fourth proportional to 55,759, 83,651.46 and 18,823 is: 28,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,759 : 83,651.46 = 18,823 : x
  2. Step 2: Convert to fraction form
    55,759/83,651.46 = 18,823/x
  3. Step 3: Cross multiply
    55,759x = 83,651.46 × 18,823
  4. Step 4: Simplify right side
    55,759x = 1,574,571,431.58
  5. Step 5: Solve for x
    x = 1,574,571,431.58/55,759
  6. Step 6: Final answer
    x = 28,238.88

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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.