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Finding the Fourth Proportional to 105,951.78, 146,342.97 and 79,213.14

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Solution

The fourth proportional to 105,951.78, 146,342.97 and 79,213.14 is: 109,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,951.78 : 146,342.97 = 79,213.14 : x
  2. Step 2: Convert to fraction form
    105,951.78/146,342.97 = 79,213.14/x
  3. Step 3: Cross multiply
    105,951.78x = 146,342.97 × 79,213.14
  4. Step 4: Simplify right side
    105,951.78x = 11,592,286,170.63
  5. Step 5: Solve for x
    x = 11,592,286,170.63/105,951.78
  6. Step 6: Final answer
    x = 109,410.96

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1.5x scale

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.