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Finding the Fourth Proportional to 114.45, 157.87 and 75.12

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Solution

The fourth proportional to 114.45, 157.87 and 75.12 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.45 : 157.87 = 75.12 : x
  2. Step 2: Convert to fraction form
    114.45/157.87 = 75.12/x
  3. Step 3: Cross multiply
    114.45x = 157.87 × 75.12
  4. Step 4: Simplify right side
    114.45x = 11,859.19
  5. Step 5: Solve for x
    x = 11,859.19/114.45
  6. Step 6: Final answer
    x = 103.62

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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.