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Finding the Fourth Proportional to 65,230.31, 90,017.83 and 36,936

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Solution

The fourth proportional to 65,230.31, 90,017.83 and 36,936 is: 50,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,230.31 : 90,017.83 = 36,936 : x
  2. Step 2: Convert to fraction form
    65,230.31/90,017.83 = 36,936/x
  3. Step 3: Cross multiply
    65,230.31x = 90,017.83 × 36,936
  4. Step 4: Simplify right side
    65,230.31x = 3,324,898,615.05
  5. Step 5: Solve for x
    x = 3,324,898,615.05/65,230.31
  6. Step 6: Final answer
    x = 50,971.68

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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.