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Finding the Fourth Proportional to 214,633.80, 321,950.70 and 136,096.20

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Solution

The fourth proportional to 214,633.80, 321,950.70 and 136,096.20 is: 204,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,633.80 : 321,950.70 = 136,096.20 : x
  2. Step 2: Convert to fraction form
    214,633.80/321,950.70 = 136,096.20/x
  3. Step 3: Cross multiply
    214,633.80x = 321,950.70 × 136,096.20
  4. Step 4: Simplify right side
    214,633.80x = 43,816,266,857.34
  5. Step 5: Solve for x
    x = 43,816,266,857.34/214,633.80
  6. Step 6: Final answer
    x = 204,144.30

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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.