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Finding the Fourth Proportional to 84.47, 125.80 and 83.41

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Solution

The fourth proportional to 84.47, 125.80 and 83.41 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.47 : 125.80 = 83.41 : x
  2. Step 2: Convert to fraction form
    84.47/125.80 = 83.41/x
  3. Step 3: Cross multiply
    84.47x = 125.80 × 83.41
  4. Step 4: Simplify right side
    84.47x = 10,492.45
  5. Step 5: Solve for x
    x = 10,492.45/84.47
  6. Step 6: Final answer
    x = 124.22

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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.