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Finding the Fourth Proportional to 200,160.72, 300,302.64 and 106,596

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Solution

The fourth proportional to 200,160.72, 300,302.64 and 106,596 is: 159,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,160.72 : 300,302.64 = 106,596 : x
  2. Step 2: Convert to fraction form
    200,160.72/300,302.64 = 106,596/x
  3. Step 3: Cross multiply
    200,160.72x = 300,302.64 × 106,596
  4. Step 4: Simplify right side
    200,160.72x = 32,011,060,213.44
  5. Step 5: Solve for x
    x = 32,011,060,213.44/200,160.72
  6. Step 6: Final answer
    x = 159,926.78

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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.