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Finding the Fourth Proportional to 200,000.72, 275,989.68 and 109,339.86

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Solution

The fourth proportional to 200,000.72, 275,989.68 and 109,339.86 is: 150,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,000.72 : 275,989.68 = 109,339.86 : x
  2. Step 2: Convert to fraction form
    200,000.72/275,989.68 = 109,339.86/x
  3. Step 3: Cross multiply
    200,000.72x = 275,989.68 × 109,339.86
  4. Step 4: Simplify right side
    200,000.72x = 30,176,672,972.64
  5. Step 5: Solve for x
    x = 30,176,672,972.64/200,000.72
  6. Step 6: Final answer
    x = 150,882.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.