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Finding the Fourth Proportional to 217,784.85, 326,522.84 and 84,552.81

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Solution

The fourth proportional to 217,784.85, 326,522.84 and 84,552.81 is: 126,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,784.85 : 326,522.84 = 84,552.81 : x
  2. Step 2: Convert to fraction form
    217,784.85/326,522.84 = 84,552.81/x
  3. Step 3: Cross multiply
    217,784.85x = 326,522.84 × 84,552.81
  4. Step 4: Simplify right side
    217,784.85x = 27,608,423,228.42
  5. Step 5: Solve for x
    x = 27,608,423,228.42/217,784.85
  6. Step 6: Final answer
    x = 126,769.26

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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.