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Finding the Fourth Proportional to 321,995.16, 483,005.82 and 82,115.28

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Solution

The fourth proportional to 321,995.16, 483,005.82 and 82,115.28 is: 123,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,995.16 : 483,005.82 = 82,115.28 : x
  2. Step 2: Convert to fraction form
    321,995.16/483,005.82 = 82,115.28/x
  3. Step 3: Cross multiply
    321,995.16x = 483,005.82 × 82,115.28
  4. Step 4: Simplify right side
    321,995.16x = 39,662,158,150.93
  5. Step 5: Solve for x
    x = 39,662,158,150.93/321,995.16
  6. Step 6: Final answer
    x = 123,176.26

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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.