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Finding the Fourth Proportional to 81,973.62, 122,960.52 and 22,809.30

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Solution

The fourth proportional to 81,973.62, 122,960.52 and 22,809.30 is: 34,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.62 : 122,960.52 = 22,809.30 : x
  2. Step 2: Convert to fraction form
    81,973.62/122,960.52 = 22,809.30/x
  3. Step 3: Cross multiply
    81,973.62x = 122,960.52 × 22,809.30
  4. Step 4: Simplify right side
    81,973.62x = 2,804,643,388.84
  5. Step 5: Solve for x
    x = 2,804,643,388.84/81,973.62
  6. Step 6: Final answer
    x = 34,213.98

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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.