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Finding the Fourth Proportional to 65,809.40, 98,724.41 and 28,380.11

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Solution

The fourth proportional to 65,809.40, 98,724.41 and 28,380.11 is: 42,574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,809.40 : 98,724.41 = 28,380.11 : x
  2. Step 2: Convert to fraction form
    65,809.40/98,724.41 = 28,380.11/x
  3. Step 3: Cross multiply
    65,809.40x = 98,724.41 × 28,380.11
  4. Step 4: Simplify right side
    65,809.40x = 2,801,809,121.86
  5. Step 5: Solve for x
    x = 2,801,809,121.86/65,809.40
  6. Step 6: Final answer
    x = 42,574.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.