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Finding the Fourth Proportional to 105.43, 157.95 and 76.51

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Solution

The fourth proportional to 105.43, 157.95 and 76.51 is: 114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.43 : 157.95 = 76.51 : x
  2. Step 2: Convert to fraction form
    105.43/157.95 = 76.51/x
  3. Step 3: Cross multiply
    105.43x = 157.95 × 76.51
  4. Step 4: Simplify right side
    105.43x = 12,084.75
  5. Step 5: Solve for x
    x = 12,084.75/105.43
  6. Step 6: Final answer
    x = 114.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.