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Finding the Fourth Proportional to 81,980, 122,967.84 and 22,813.28

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Solution

The fourth proportional to 81,980, 122,967.84 and 22,813.28 is: 34,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980 : 122,967.84 = 22,813.28 : x
  2. Step 2: Convert to fraction form
    81,980/122,967.84 = 22,813.28/x
  3. Step 3: Cross multiply
    81,980x = 122,967.84 × 22,813.28
  4. Step 4: Simplify right side
    81,980x = 2,805,299,764.92
  5. Step 5: Solve for x
    x = 2,805,299,764.92/81,980
  6. Step 6: Final answer
    x = 34,219.32

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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.