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Finding the Fourth Proportional to 127.11, 189.75 and 117.47

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Solution

The fourth proportional to 127.11, 189.75 and 117.47 is: 175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.11 : 189.75 = 117.47 : x
  2. Step 2: Convert to fraction form
    127.11/189.75 = 117.47/x
  3. Step 3: Cross multiply
    127.11x = 189.75 × 117.47
  4. Step 4: Simplify right side
    127.11x = 22,288.98
  5. Step 5: Solve for x
    x = 22,288.98/127.11
  6. Step 6: Final answer
    x = 175.35

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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.