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Finding the Fourth Proportional to 105,900.75, 146,175.84 and 68,175

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Solution

The fourth proportional to 105,900.75, 146,175.84 and 68,175 is: 94,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,900.75 : 146,175.84 = 68,175 : x
  2. Step 2: Convert to fraction form
    105,900.75/146,175.84 = 68,175/x
  3. Step 3: Cross multiply
    105,900.75x = 146,175.84 × 68,175
  4. Step 4: Simplify right side
    105,900.75x = 9,965,537,892
  5. Step 5: Solve for x
    x = 9,965,537,892/105,900.75
  6. Step 6: Final answer
    x = 94,102.62

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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.