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Finding the Fourth Proportional to 124.30, 171.40 and 106.87

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Solution

The fourth proportional to 124.30, 171.40 and 106.87 is: 147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.30 : 171.40 = 106.87 : x
  2. Step 2: Convert to fraction form
    124.30/171.40 = 106.87/x
  3. Step 3: Cross multiply
    124.30x = 171.40 × 106.87
  4. Step 4: Simplify right side
    124.30x = 18,317.52
  5. Step 5: Solve for x
    x = 18,317.52/124.30
  6. Step 6: Final answer
    x = 147.37

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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.