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Finding the Fourth Proportional to 115,056, 172,387.44 and 81,610.56

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Solution

The fourth proportional to 115,056, 172,387.44 and 81,610.56 is: 122,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,056 : 172,387.44 = 81,610.56 : x
  2. Step 2: Convert to fraction form
    115,056/172,387.44 = 81,610.56/x
  3. Step 3: Cross multiply
    115,056x = 172,387.44 × 81,610.56
  4. Step 4: Simplify right side
    115,056x = 14,068,635,515.37
  5. Step 5: Solve for x
    x = 14,068,635,515.37/115,056
  6. Step 6: Final answer
    x = 122,276.42

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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.