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Finding the Fourth Proportional to 130.54, 180.49 and 124.81

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Solution

The fourth proportional to 130.54, 180.49 and 124.81 is: 172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.54 : 180.49 = 124.81 : x
  2. Step 2: Convert to fraction form
    130.54/180.49 = 124.81/x
  3. Step 3: Cross multiply
    130.54x = 180.49 × 124.81
  4. Step 4: Simplify right side
    130.54x = 22,525.74
  5. Step 5: Solve for x
    x = 22,525.74/130.54
  6. Step 6: Final answer
    x = 172.55

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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.