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Finding the Fourth Proportional to 82,133.65, 123,200.49 and 28,867.44

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Solution

The fourth proportional to 82,133.65, 123,200.49 and 28,867.44 is: 43,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.65 : 123,200.49 = 28,867.44 : x
  2. Step 2: Convert to fraction form
    82,133.65/123,200.49 = 28,867.44/x
  3. Step 3: Cross multiply
    82,133.65x = 123,200.49 × 28,867.44
  4. Step 4: Simplify right side
    82,133.65x = 3,556,483,323.30
  5. Step 5: Solve for x
    x = 3,556,483,323.30/82,133.65
  6. Step 6: Final answer
    x = 43,301.17

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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.