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Finding the Fourth Proportional to 65,844, 90,864.96 and 36,036

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Solution

The fourth proportional to 65,844, 90,864.96 and 36,036 is: 49,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,844 : 90,864.96 = 36,036 : x
  2. Step 2: Convert to fraction form
    65,844/90,864.96 = 36,036/x
  3. Step 3: Cross multiply
    65,844x = 90,864.96 × 36,036
  4. Step 4: Simplify right side
    65,844x = 3,274,409,698.56
  5. Step 5: Solve for x
    x = 3,274,409,698.56/65,844
  6. Step 6: Final answer
    x = 49,729.81

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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.