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Finding the Fourth Proportional to 65,695, 90,659.22 and 35,887

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Solution

The fourth proportional to 65,695, 90,659.22 and 35,887 is: 49,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695 : 90,659.22 = 35,887 : x
  2. Step 2: Convert to fraction form
    65,695/90,659.22 = 35,887/x
  3. Step 3: Cross multiply
    65,695x = 90,659.22 × 35,887
  4. Step 4: Simplify right side
    65,695x = 3,253,487,428.14
  5. Step 5: Solve for x
    x = 3,253,487,428.14/65,695
  6. Step 6: Final answer
    x = 49,524.13

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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.