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Finding the Fourth Proportional to 85,297.22, 127,942.14 and 29,142.34

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Solution

The fourth proportional to 85,297.22, 127,942.14 and 29,142.34 is: 43,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,297.22 : 127,942.14 = 29,142.34 : x
  2. Step 2: Convert to fraction form
    85,297.22/127,942.14 = 29,142.34/x
  3. Step 3: Cross multiply
    85,297.22x = 127,942.14 × 29,142.34
  4. Step 4: Simplify right side
    85,297.22x = 3,728,533,344.21
  5. Step 5: Solve for x
    x = 3,728,533,344.21/85,297.22
  6. Step 6: Final answer
    x = 43,712.25

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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.