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Finding the Fourth Proportional to 81,342.90, 122,003.10 and 25,221.60

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Solution

The fourth proportional to 81,342.90, 122,003.10 and 25,221.60 is: 37,828.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,342.90 : 122,003.10 = 25,221.60 : x
  2. Step 2: Convert to fraction form
    81,342.90/122,003.10 = 25,221.60/x
  3. Step 3: Cross multiply
    81,342.90x = 122,003.10 × 25,221.60
  4. Step 4: Simplify right side
    81,342.90x = 3,077,113,386.96
  5. Step 5: Solve for x
    x = 3,077,113,386.96/81,342.90
  6. Step 6: Final answer
    x = 37,828.91

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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.