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Finding the Fourth Proportional to 215,693.45, 323,541 and 65,933.16

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Solution

The fourth proportional to 215,693.45, 323,541 and 65,933.16 is: 98,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,693.45 : 323,541 = 65,933.16 : x
  2. Step 2: Convert to fraction form
    215,693.45/323,541 = 65,933.16/x
  3. Step 3: Cross multiply
    215,693.45x = 323,541 × 65,933.16
  4. Step 4: Simplify right side
    215,693.45x = 21,332,080,519.56
  5. Step 5: Solve for x
    x = 21,332,080,519.56/215,693.45
  6. Step 6: Final answer
    x = 98,899.99

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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.