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Finding the Fourth Proportional to 124.58, 172.07 and 83.07

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Solution

The fourth proportional to 124.58, 172.07 and 83.07 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.58 : 172.07 = 83.07 : x
  2. Step 2: Convert to fraction form
    124.58/172.07 = 83.07/x
  3. Step 3: Cross multiply
    124.58x = 172.07 × 83.07
  4. Step 4: Simplify right side
    124.58x = 14,292.58
  5. Step 5: Solve for x
    x = 14,292.58/124.58
  6. Step 6: Final answer
    x = 114.73

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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.