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Finding the Fourth Proportional to 147.86, 203.90 and 115.14

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Solution

The fourth proportional to 147.86, 203.90 and 115.14 is: 158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.86 : 203.90 = 115.14 : x
  2. Step 2: Convert to fraction form
    147.86/203.90 = 115.14/x
  3. Step 3: Cross multiply
    147.86x = 203.90 × 115.14
  4. Step 4: Simplify right side
    147.86x = 23,477.05
  5. Step 5: Solve for x
    x = 23,477.05/147.86
  6. Step 6: Final answer
    x = 158.78

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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.