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Finding the Fourth Proportional to 124,631.06, 171,968.06 and 82,164.38

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Solution

The fourth proportional to 124,631.06, 171,968.06 and 82,164.38 is: 113,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,631.06 : 171,968.06 = 82,164.38 : x
  2. Step 2: Convert to fraction form
    124,631.06/171,968.06 = 82,164.38/x
  3. Step 3: Cross multiply
    124,631.06x = 171,968.06 × 82,164.38
  4. Step 4: Simplify right side
    124,631.06x = 14,129,648,375.27
  5. Step 5: Solve for x
    x = 14,129,648,375.27/124,631.06
  6. Step 6: Final answer
    x = 113,371.81

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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.