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Finding the Fourth Proportional to 81,615.78, 122,349.78 and 29,012.96

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Solution

The fourth proportional to 81,615.78, 122,349.78 and 29,012.96 is: 43,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,615.78 : 122,349.78 = 29,012.96 : x
  2. Step 2: Convert to fraction form
    81,615.78/122,349.78 = 29,012.96/x
  3. Step 3: Cross multiply
    81,615.78x = 122,349.78 × 29,012.96
  4. Step 4: Simplify right side
    81,615.78x = 3,549,729,579.02
  5. Step 5: Solve for x
    x = 3,549,729,579.02/81,615.78
  6. Step 6: Final answer
    x = 43,493.18

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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.