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Finding the Fourth Proportional to 105,887.75, 146,157.90 and 68,162

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Solution

The fourth proportional to 105,887.75, 146,157.90 and 68,162 is: 94,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,887.75 : 146,157.90 = 68,162 : x
  2. Step 2: Convert to fraction form
    105,887.75/146,157.90 = 68,162/x
  3. Step 3: Cross multiply
    105,887.75x = 146,157.90 × 68,162
  4. Step 4: Simplify right side
    105,887.75x = 9,962,414,779.80
  5. Step 5: Solve for x
    x = 9,962,414,779.80/105,887.75
  6. Step 6: Final answer
    x = 94,084.68

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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.