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Finding the Fourth Proportional to 124.36, 185.21 and 117

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Solution

The fourth proportional to 124.36, 185.21 and 117 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.36 : 185.21 = 117 : x
  2. Step 2: Convert to fraction form
    124.36/185.21 = 117/x
  3. Step 3: Cross multiply
    124.36x = 185.21 × 117
  4. Step 4: Simplify right side
    124.36x = 21,669.57
  5. Step 5: Solve for x
    x = 21,669.57/124.36
  6. Step 6: Final answer
    x = 174.25

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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.