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Finding the Fourth Proportional to 271,123.20, 406,684.80 and 84,134.70

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Solution

The fourth proportional to 271,123.20, 406,684.80 and 84,134.70 is: 126,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,123.20 : 406,684.80 = 84,134.70 : x
  2. Step 2: Convert to fraction form
    271,123.20/406,684.80 = 84,134.70/x
  3. Step 3: Cross multiply
    271,123.20x = 406,684.80 × 84,134.70
  4. Step 4: Simplify right side
    271,123.20x = 34,216,303,642.56
  5. Step 5: Solve for x
    x = 34,216,303,642.56/271,123.20
  6. Step 6: Final answer
    x = 126,202.05

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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.