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Finding the Fourth Proportional to 124.10, 189.42 and 124.10

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Solution

The fourth proportional to 124.10, 189.42 and 124.10 is: 189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 189.42 = 124.10 : x
  2. Step 2: Convert to fraction form
    124.10/189.42 = 124.10/x
  3. Step 3: Cross multiply
    124.10x = 189.42 × 124.10
  4. Step 4: Simplify right side
    124.10x = 23,507.02
  5. Step 5: Solve for x
    x = 23,507.02/124.10
  6. Step 6: Final answer
    x = 189.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.