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Finding the Fourth Proportional to 134,517.48, 185,469.66 and 84,129

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Solution

The fourth proportional to 134,517.48, 185,469.66 and 84,129 is: 115,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,517.48 : 185,469.66 = 84,129 : x
  2. Step 2: Convert to fraction form
    134,517.48/185,469.66 = 84,129/x
  3. Step 3: Cross multiply
    134,517.48x = 185,469.66 × 84,129
  4. Step 4: Simplify right side
    134,517.48x = 15,603,377,026.14
  5. Step 5: Solve for x
    x = 15,603,377,026.14/134,517.48
  6. Step 6: Final answer
    x = 115,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.