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Finding the Fourth Proportional to 65,846.49, 98,791.89 and 20,875.17

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Solution

The fourth proportional to 65,846.49, 98,791.89 and 20,875.17 is: 31,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,846.49 : 98,791.89 = 20,875.17 : x
  2. Step 2: Convert to fraction form
    65,846.49/98,791.89 = 20,875.17/x
  3. Step 3: Cross multiply
    65,846.49x = 98,791.89 × 20,875.17
  4. Step 4: Simplify right side
    65,846.49x = 2,062,297,498.37
  5. Step 5: Solve for x
    x = 2,062,297,498.37/65,846.49
  6. Step 6: Final answer
    x = 31,319.78

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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.