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Finding the Fourth Proportional to 82.36, 124.15 and 75.16

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Solution

The fourth proportional to 82.36, 124.15 and 75.16 is: 113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.36 : 124.15 = 75.16 : x
  2. Step 2: Convert to fraction form
    82.36/124.15 = 75.16/x
  3. Step 3: Cross multiply
    82.36x = 124.15 × 75.16
  4. Step 4: Simplify right side
    82.36x = 9,331.11
  5. Step 5: Solve for x
    x = 9,331.11/82.36
  6. Step 6: Final answer
    x = 113.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.