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Finding the Fourth Proportional to 123.07, 168.72 and 117.20

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Solution

The fourth proportional to 123.07, 168.72 and 117.20 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.07 : 168.72 = 117.20 : x
  2. Step 2: Convert to fraction form
    123.07/168.72 = 117.20/x
  3. Step 3: Cross multiply
    123.07x = 168.72 × 117.20
  4. Step 4: Simplify right side
    123.07x = 19,773.40
  5. Step 5: Solve for x
    x = 19,773.40/123.07
  6. Step 6: Final answer
    x = 160.67

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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.