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Finding the Fourth Proportional to 215,735.13, 323,617.68 and 65,963.90

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Solution

The fourth proportional to 215,735.13, 323,617.68 and 65,963.90 is: 98,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,735.13 : 323,617.68 = 65,963.90 : x
  2. Step 2: Convert to fraction form
    215,735.13/323,617.68 = 65,963.90/x
  3. Step 3: Cross multiply
    215,735.13x = 323,617.68 × 65,963.90
  4. Step 4: Simplify right side
    215,735.13x = 21,347,085,090.80
  5. Step 5: Solve for x
    x = 21,347,085,090.80/215,735.13
  6. Step 6: Final answer
    x = 98,950.44

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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.