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Finding the Fourth Proportional to 217,512.55, 326,395.86 and 91,142.02

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Solution

The fourth proportional to 217,512.55, 326,395.86 and 91,142.02 is: 136,766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,512.55 : 326,395.86 = 91,142.02 : x
  2. Step 2: Convert to fraction form
    217,512.55/326,395.86 = 91,142.02/x
  3. Step 3: Cross multiply
    217,512.55x = 326,395.86 × 91,142.02
  4. Step 4: Simplify right side
    217,512.55x = 29,748,378,000.04
  5. Step 5: Solve for x
    x = 29,748,378,000.04/217,512.55
  6. Step 6: Final answer
    x = 136,766.26

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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.