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Finding the Fourth Proportional to 200,000.21, 275,989.01 and 109,339.34

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Solution

The fourth proportional to 200,000.21, 275,989.01 and 109,339.34 is: 150,882.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,000.21 : 275,989.01 = 109,339.34 : x
  2. Step 2: Convert to fraction form
    200,000.21/275,989.01 = 109,339.34/x
  3. Step 3: Cross multiply
    200,000.21x = 275,989.01 × 109,339.34
  4. Step 4: Simplify right side
    200,000.21x = 30,176,454,274.01
  5. Step 5: Solve for x
    x = 30,176,454,274.01/200,000.21
  6. Step 6: Final answer
    x = 150,882.12

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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.