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Finding the Fourth Proportional to 124.75, 172.23 and 83.29

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Solution

The fourth proportional to 124.75, 172.23 and 83.29 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.75 : 172.23 = 83.29 : x
  2. Step 2: Convert to fraction form
    124.75/172.23 = 83.29/x
  3. Step 3: Cross multiply
    124.75x = 172.23 × 83.29
  4. Step 4: Simplify right side
    124.75x = 14,345.40
  5. Step 5: Solve for x
    x = 14,345.40/124.75
  6. Step 6: Final answer
    x = 114.99

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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.