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Finding the Fourth Proportional to 130.15, 178.50 and 123.55

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Solution

The fourth proportional to 130.15, 178.50 and 123.55 is: 169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.15 : 178.50 = 123.55 : x
  2. Step 2: Convert to fraction form
    130.15/178.50 = 123.55/x
  3. Step 3: Cross multiply
    130.15x = 178.50 × 123.55
  4. Step 4: Simplify right side
    130.15x = 22,053.68
  5. Step 5: Solve for x
    x = 22,053.68/130.15
  6. Step 6: Final answer
    x = 169.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.