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Finding the Fourth Proportional to 217,638.72, 326,528.64 and 106,752.96

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Solution

The fourth proportional to 217,638.72, 326,528.64 and 106,752.96 is: 160,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,638.72 : 326,528.64 = 106,752.96 : x
  2. Step 2: Convert to fraction form
    217,638.72/326,528.64 = 106,752.96/x
  3. Step 3: Cross multiply
    217,638.72x = 326,528.64 × 106,752.96
  4. Step 4: Simplify right side
    217,638.72x = 34,857,898,844.77
  5. Step 5: Solve for x
    x = 34,857,898,844.77/217,638.72
  6. Step 6: Final answer
    x = 160,164.05

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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.