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Finding the Fourth Proportional to 133,612.70, 200,419.05 and 82,874.30

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Solution

The fourth proportional to 133,612.70, 200,419.05 and 82,874.30 is: 124,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612.70 : 200,419.05 = 82,874.30 : x
  2. Step 2: Convert to fraction form
    133,612.70/200,419.05 = 82,874.30/x
  3. Step 3: Cross multiply
    133,612.70x = 200,419.05 × 82,874.30
  4. Step 4: Simplify right side
    133,612.70x = 16,609,588,475.42
  5. Step 5: Solve for x
    x = 16,609,588,475.42/133,612.70
  6. Step 6: Final answer
    x = 124,311.45

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1.5x scale

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.