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Finding the Fourth Proportional to 211,645.44, 317,226.24 and 86,832

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Solution

The fourth proportional to 211,645.44, 317,226.24 and 86,832 is: 130,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,645.44 : 317,226.24 = 86,832 : x
  2. Step 2: Convert to fraction form
    211,645.44/317,226.24 = 86,832/x
  3. Step 3: Cross multiply
    211,645.44x = 317,226.24 × 86,832
  4. Step 4: Simplify right side
    211,645.44x = 27,545,388,871.68
  5. Step 5: Solve for x
    x = 27,545,388,871.68/211,645.44
  6. Step 6: Final answer
    x = 130,148.75

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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.