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Finding the Fourth Proportional to 139.83, 193.08 and 124.31

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Solution

The fourth proportional to 139.83, 193.08 and 124.31 is: 171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.83 : 193.08 = 124.31 : x
  2. Step 2: Convert to fraction form
    139.83/193.08 = 124.31/x
  3. Step 3: Cross multiply
    139.83x = 193.08 × 124.31
  4. Step 4: Simplify right side
    139.83x = 24,000.81
  5. Step 5: Solve for x
    x = 24,000.81/139.83
  6. Step 6: Final answer
    x = 171.64

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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.