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Finding the Fourth Proportional to 127, 189.47 and 114.85

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Solution

The fourth proportional to 127, 189.47 and 114.85 is: 171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 189.47 = 114.85 : x
  2. Step 2: Convert to fraction form
    127/189.47 = 114.85/x
  3. Step 3: Cross multiply
    127x = 189.47 × 114.85
  4. Step 4: Simplify right side
    127x = 21,760.63
  5. Step 5: Solve for x
    x = 21,760.63/127
  6. Step 6: Final answer
    x = 171.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.