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Finding the Fourth Proportional to 124.96, 186.64 and 99.31

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Solution

The fourth proportional to 124.96, 186.64 and 99.31 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.96 : 186.64 = 99.31 : x
  2. Step 2: Convert to fraction form
    124.96/186.64 = 99.31/x
  3. Step 3: Cross multiply
    124.96x = 186.64 × 99.31
  4. Step 4: Simplify right side
    124.96x = 18,535.22
  5. Step 5: Solve for x
    x = 18,535.22/124.96
  6. Step 6: Final answer
    x = 148.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.