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Finding the Fourth Proportional to 65,020.86, 89,727.62 and 36,340.99

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Solution

The fourth proportional to 65,020.86, 89,727.62 and 36,340.99 is: 50,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,020.86 : 89,727.62 = 36,340.99 : x
  2. Step 2: Convert to fraction form
    65,020.86/89,727.62 = 36,340.99/x
  3. Step 3: Cross multiply
    65,020.86x = 89,727.62 × 36,340.99
  4. Step 4: Simplify right side
    65,020.86x = 3,260,790,135.12
  5. Step 5: Solve for x
    x = 3,260,790,135.12/65,020.86
  6. Step 6: Final answer
    x = 50,149.91

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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.