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Finding the Fourth Proportional to 271,612.70, 407,417.02 and 82,072.70

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Solution

The fourth proportional to 271,612.70, 407,417.02 and 82,072.70 is: 123,108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,612.70 : 407,417.02 = 82,072.70 : x
  2. Step 2: Convert to fraction form
    271,612.70/407,417.02 = 82,072.70/x
  3. Step 3: Cross multiply
    271,612.70x = 407,417.02 × 82,072.70
  4. Step 4: Simplify right side
    271,612.70x = 33,437,814,857.35
  5. Step 5: Solve for x
    x = 33,437,814,857.35/271,612.70
  6. Step 6: Final answer
    x = 123,108.44

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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.