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Finding the Fourth Proportional to 130.27, 180.61 and 123.68

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Solution

The fourth proportional to 130.27, 180.61 and 123.68 is: 171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.27 : 180.61 = 123.68 : x
  2. Step 2: Convert to fraction form
    130.27/180.61 = 123.68/x
  3. Step 3: Cross multiply
    130.27x = 180.61 × 123.68
  4. Step 4: Simplify right side
    130.27x = 22,337.84
  5. Step 5: Solve for x
    x = 22,337.84/130.27
  6. Step 6: Final answer
    x = 171.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.