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Finding the Fourth Proportional to 65,724.21, 98,609.21 and 20,752.51

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Solution

The fourth proportional to 65,724.21, 98,609.21 and 20,752.51 is: 31,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,724.21 : 98,609.21 = 20,752.51 : x
  2. Step 2: Convert to fraction form
    65,724.21/98,609.21 = 20,752.51/x
  3. Step 3: Cross multiply
    65,724.21x = 98,609.21 × 20,752.51
  4. Step 4: Simplify right side
    65,724.21x = 2,046,388,616.62
  5. Step 5: Solve for x
    x = 2,046,388,616.62/65,724.21
  6. Step 6: Final answer
    x = 31,135.99

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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.