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Finding the Fourth Proportional to 210,716.44, 316,074.96 and 86,057.44

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Solution

The fourth proportional to 210,716.44, 316,074.96 and 86,057.44 is: 129,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,716.44 : 316,074.96 = 86,057.44 : x
  2. Step 2: Convert to fraction form
    210,716.44/316,074.96 = 86,057.44/x
  3. Step 3: Cross multiply
    210,716.44x = 316,074.96 × 86,057.44
  4. Step 4: Simplify right side
    210,716.44x = 27,200,601,115.52
  5. Step 5: Solve for x
    x = 27,200,601,115.52/210,716.44
  6. Step 6: Final answer
    x = 129,086.28

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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.