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Finding the Fourth Proportional to 65,695.59, 90,663.21 and 40,193.98

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Solution

The fourth proportional to 65,695.59, 90,663.21 and 40,193.98 is: 55,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695.59 : 90,663.21 = 40,193.98 : x
  2. Step 2: Convert to fraction form
    65,695.59/90,663.21 = 40,193.98/x
  3. Step 3: Cross multiply
    65,695.59x = 90,663.21 × 40,193.98
  4. Step 4: Simplify right side
    65,695.59x = 3,644,115,022.82
  5. Step 5: Solve for x
    x = 3,644,115,022.82/65,695.59
  6. Step 6: Final answer
    x = 55,469.71

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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.