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Finding the Fourth Proportional to 81,575.90, 122,408.44 and 31,657.96

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Solution

The fourth proportional to 81,575.90, 122,408.44 and 31,657.96 is: 47,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,575.90 : 122,408.44 = 31,657.96 : x
  2. Step 2: Convert to fraction form
    81,575.90/122,408.44 = 31,657.96/x
  3. Step 3: Cross multiply
    81,575.90x = 122,408.44 × 31,657.96
  4. Step 4: Simplify right side
    81,575.90x = 3,875,201,497.18
  5. Step 5: Solve for x
    x = 3,875,201,497.18/81,575.90
  6. Step 6: Final answer
    x = 47,504.24

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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.