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Finding the Fourth Proportional to 81,507.61, 122,262.26 and 22,343.28

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Solution

The fourth proportional to 81,507.61, 122,262.26 and 22,343.28 is: 33,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,507.61 : 122,262.26 = 22,343.28 : x
  2. Step 2: Convert to fraction form
    81,507.61/122,262.26 = 22,343.28/x
  3. Step 3: Cross multiply
    81,507.61x = 122,262.26 × 22,343.28
  4. Step 4: Simplify right side
    81,507.61x = 2,731,739,796.90
  5. Step 5: Solve for x
    x = 2,731,739,796.90/81,507.61
  6. Step 6: Final answer
    x = 33,515.15

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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.