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Finding the Fourth Proportional to 211,131.72, 316,814.22 and 86,463

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Solution

The fourth proportional to 211,131.72, 316,814.22 and 86,463 is: 129,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,131.72 : 316,814.22 = 86,463 : x
  2. Step 2: Convert to fraction form
    211,131.72/316,814.22 = 86,463/x
  3. Step 3: Cross multiply
    211,131.72x = 316,814.22 × 86,463
  4. Step 4: Simplify right side
    211,131.72x = 27,392,707,903.86
  5. Step 5: Solve for x
    x = 27,392,707,903.86/211,131.72
  6. Step 6: Final answer
    x = 129,742.27

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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.