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Finding the Fourth Proportional to 143.04, 196.80 and 123.60

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Solution

The fourth proportional to 143.04, 196.80 and 123.60 is: 170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.04 : 196.80 = 123.60 : x
  2. Step 2: Convert to fraction form
    143.04/196.80 = 123.60/x
  3. Step 3: Cross multiply
    143.04x = 196.80 × 123.60
  4. Step 4: Simplify right side
    143.04x = 24,324.48
  5. Step 5: Solve for x
    x = 24,324.48/143.04
  6. Step 6: Final answer
    x = 170.05

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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.