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Finding the Fourth Proportional to 106,185.12, 146,474.52 and 66,372

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Solution

The fourth proportional to 106,185.12, 146,474.52 and 66,372 is: 91,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,185.12 : 146,474.52 = 66,372 : x
  2. Step 2: Convert to fraction form
    106,185.12/146,474.52 = 66,372/x
  3. Step 3: Cross multiply
    106,185.12x = 146,474.52 × 66,372
  4. Step 4: Simplify right side
    106,185.12x = 9,721,806,841.44
  5. Step 5: Solve for x
    x = 9,721,806,841.44/106,185.12
  6. Step 6: Final answer
    x = 91,555.27

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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.