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Finding the Fourth Proportional to 65,471.72, 90,358.63 and 36,791.42

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Solution

The fourth proportional to 65,471.72, 90,358.63 and 36,791.42 is: 50,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,471.72 : 90,358.63 = 36,791.42 : x
  2. Step 2: Convert to fraction form
    65,471.72/90,358.63 = 36,791.42/x
  3. Step 3: Cross multiply
    65,471.72x = 90,358.63 × 36,791.42
  4. Step 4: Simplify right side
    65,471.72x = 3,324,421,763.18
  5. Step 5: Solve for x
    x = 3,324,421,763.18/65,471.72
  6. Step 6: Final answer
    x = 50,776.46

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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.