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Finding the Fourth Proportional to 51,149.53, 76,724.29 and 19,562.80

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Solution

The fourth proportional to 51,149.53, 76,724.29 and 19,562.80 is: 29,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,149.53 : 76,724.29 = 19,562.80 : x
  2. Step 2: Convert to fraction form
    51,149.53/76,724.29 = 19,562.80/x
  3. Step 3: Cross multiply
    51,149.53x = 76,724.29 × 19,562.80
  4. Step 4: Simplify right side
    51,149.53x = 1,500,941,773.05
  5. Step 5: Solve for x
    x = 1,500,941,773.05/51,149.53
  6. Step 6: Final answer
    x = 29,344.20

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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.