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Finding the Fourth Proportional to 65,686, 90,648.92 and 35,879.92

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Solution

The fourth proportional to 65,686, 90,648.92 and 35,879.92 is: 49,515.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,686 : 90,648.92 = 35,879.92 : x
  2. Step 2: Convert to fraction form
    65,686/90,648.92 = 35,879.92/x
  3. Step 3: Cross multiply
    65,686x = 90,648.92 × 35,879.92
  4. Step 4: Simplify right side
    65,686x = 3,252,475,997.69
  5. Step 5: Solve for x
    x = 3,252,475,997.69/65,686
  6. Step 6: Final answer
    x = 49,515.51

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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.