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Finding the Fourth Proportional to 217,581.64, 326,110.02 and 112,343.20

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Solution

The fourth proportional to 217,581.64, 326,110.02 and 112,343.20 is: 168,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,581.64 : 326,110.02 = 112,343.20 : x
  2. Step 2: Convert to fraction form
    217,581.64/326,110.02 = 112,343.20/x
  3. Step 3: Cross multiply
    217,581.64x = 326,110.02 × 112,343.20
  4. Step 4: Simplify right side
    217,581.64x = 36,636,243,198.86
  5. Step 5: Solve for x
    x = 36,636,243,198.86/217,581.64
  6. Step 6: Final answer
    x = 168,379.30

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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.