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Finding the Fourth Proportional to 55,761, 83,654.46 and 18,825

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Solution

The fourth proportional to 55,761, 83,654.46 and 18,825 is: 28,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,761 : 83,654.46 = 18,825 : x
  2. Step 2: Convert to fraction form
    55,761/83,654.46 = 18,825/x
  3. Step 3: Cross multiply
    55,761x = 83,654.46 × 18,825
  4. Step 4: Simplify right side
    55,761x = 1,574,795,209.50
  5. Step 5: Solve for x
    x = 1,574,795,209.50/55,761
  6. Step 6: Final answer
    x = 28,241.88

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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.