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Finding the Fourth Proportional to 53,163.69, 79,761.13 and 15,724.75

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Solution

The fourth proportional to 53,163.69, 79,761.13 and 15,724.75 is: 23,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,163.69 : 79,761.13 = 15,724.75 : x
  2. Step 2: Convert to fraction form
    53,163.69/79,761.13 = 15,724.75/x
  3. Step 3: Cross multiply
    53,163.69x = 79,761.13 × 15,724.75
  4. Step 4: Simplify right side
    53,163.69x = 1,254,223,590.25
  5. Step 5: Solve for x
    x = 1,254,223,590.25/53,163.69
  6. Step 6: Final answer
    x = 23,591.73

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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.