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Finding the Fourth Proportional to 142,026.91, 213,040.11 and 82,821.06

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Solution

The fourth proportional to 142,026.91, 213,040.11 and 82,821.06 is: 124,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,026.91 : 213,040.11 = 82,821.06 : x
  2. Step 2: Convert to fraction form
    142,026.91/213,040.11 = 82,821.06/x
  3. Step 3: Cross multiply
    142,026.91x = 213,040.11 × 82,821.06
  4. Step 4: Simplify right side
    142,026.91x = 17,644,206,978.25
  5. Step 5: Solve for x
    x = 17,644,206,978.25/142,026.91
  6. Step 6: Final answer
    x = 124,231.44

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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.