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Finding the Fourth Proportional to 131.19, 195.76 and 117.53

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Solution

The fourth proportional to 131.19, 195.76 and 117.53 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.19 : 195.76 = 117.53 : x
  2. Step 2: Convert to fraction form
    131.19/195.76 = 117.53/x
  3. Step 3: Cross multiply
    131.19x = 195.76 × 117.53
  4. Step 4: Simplify right side
    131.19x = 23,006.69
  5. Step 5: Solve for x
    x = 23,006.69/131.19
  6. Step 6: Final answer
    x = 175.37

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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.