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Finding the Fourth Proportional to 130.74, 180.76 and 121.56

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Solution

The fourth proportional to 130.74, 180.76 and 121.56 is: 168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.74 : 180.76 = 121.56 : x
  2. Step 2: Convert to fraction form
    130.74/180.76 = 121.56/x
  3. Step 3: Cross multiply
    130.74x = 180.76 × 121.56
  4. Step 4: Simplify right side
    130.74x = 21,973.19
  5. Step 5: Solve for x
    x = 21,973.19/130.74
  6. Step 6: Final answer
    x = 168.07

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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.