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Finding the Fourth Proportional to 105,912.34, 146,104.99 and 67,631.64

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Solution

The fourth proportional to 105,912.34, 146,104.99 and 67,631.64 is: 93,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,912.34 : 146,104.99 = 67,631.64 : x
  2. Step 2: Convert to fraction form
    105,912.34/146,104.99 = 67,631.64/x
  3. Step 3: Cross multiply
    105,912.34x = 146,104.99 × 67,631.64
  4. Step 4: Simplify right side
    105,912.34x = 9,881,320,085.88
  5. Step 5: Solve for x
    x = 9,881,320,085.88/105,912.34
  6. Step 6: Final answer
    x = 93,297.16

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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.