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Finding the Fourth Proportional to 99,910, 137,879.76 and 57,468.48

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Solution

The fourth proportional to 99,910, 137,879.76 and 57,468.48 is: 79,308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,910 : 137,879.76 = 57,468.48 : x
  2. Step 2: Convert to fraction form
    99,910/137,879.76 = 57,468.48/x
  3. Step 3: Cross multiply
    99,910x = 137,879.76 × 57,468.48
  4. Step 4: Simplify right side
    99,910x = 7,923,740,229.96
  5. Step 5: Solve for x
    x = 7,923,740,229.96/99,910
  6. Step 6: Final answer
    x = 79,308.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.