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Finding the Fourth Proportional to 217,722.46, 326,676.29 and 105,486.30

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Solution

The fourth proportional to 217,722.46, 326,676.29 and 105,486.30 is: 158,274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,722.46 : 326,676.29 = 105,486.30 : x
  2. Step 2: Convert to fraction form
    217,722.46/326,676.29 = 105,486.30/x
  3. Step 3: Cross multiply
    217,722.46x = 326,676.29 × 105,486.30
  4. Step 4: Simplify right side
    217,722.46x = 34,459,873,195.76
  5. Step 5: Solve for x
    x = 34,459,873,195.76/217,722.46
  6. Step 6: Final answer
    x = 158,274.32

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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.