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Finding the Fourth Proportional to 65,682.27, 90,671.70 and 43,022.19

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Solution

The fourth proportional to 65,682.27, 90,671.70 and 43,022.19 is: 59,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.27 : 90,671.70 = 43,022.19 : x
  2. Step 2: Convert to fraction form
    65,682.27/90,671.70 = 43,022.19/x
  3. Step 3: Cross multiply
    65,682.27x = 90,671.70 × 43,022.19
  4. Step 4: Simplify right side
    65,682.27x = 3,900,895,105.02
  5. Step 5: Solve for x
    x = 3,900,895,105.02/65,682.27
  6. Step 6: Final answer
    x = 59,390.38

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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.