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Finding the Fourth Proportional to 114.86, 158.60 and 78.01

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Solution

The fourth proportional to 114.86, 158.60 and 78.01 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.86 : 158.60 = 78.01 : x
  2. Step 2: Convert to fraction form
    114.86/158.60 = 78.01/x
  3. Step 3: Cross multiply
    114.86x = 158.60 × 78.01
  4. Step 4: Simplify right side
    114.86x = 12,371.60
  5. Step 5: Solve for x
    x = 12,371.60/114.86
  6. Step 6: Final answer
    x = 107.71

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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.