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Finding the Fourth Proportional to 127.81, 190.78 and 117.01

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Solution

The fourth proportional to 127.81, 190.78 and 117.01 is: 174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 190.78 = 117.01 : x
  2. Step 2: Convert to fraction form
    127.81/190.78 = 117.01/x
  3. Step 3: Cross multiply
    127.81x = 190.78 × 117.01
  4. Step 4: Simplify right side
    127.81x = 22,323.46
  5. Step 5: Solve for x
    x = 22,323.46/127.81
  6. Step 6: Final answer
    x = 174.66

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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.