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Finding the Fourth Proportional to 106,181.12, 146,469 and 66,368

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Solution

The fourth proportional to 106,181.12, 146,469 and 66,368 is: 91,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,181.12 : 146,469 = 66,368 : x
  2. Step 2: Convert to fraction form
    106,181.12/146,469 = 66,368/x
  3. Step 3: Cross multiply
    106,181.12x = 146,469 × 66,368
  4. Step 4: Simplify right side
    106,181.12x = 9,720,854,592
  5. Step 5: Solve for x
    x = 9,720,854,592/106,181.12
  6. Step 6: Final answer
    x = 91,549.75

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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.