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Finding the Fourth Proportional to 84.07, 125.65 and 61.12

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Solution

The fourth proportional to 84.07, 125.65 and 61.12 is: 91.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.07 : 125.65 = 61.12 : x
  2. Step 2: Convert to fraction form
    84.07/125.65 = 61.12/x
  3. Step 3: Cross multiply
    84.07x = 125.65 × 61.12
  4. Step 4: Simplify right side
    84.07x = 7,679.73
  5. Step 5: Solve for x
    x = 7,679.73/84.07
  6. Step 6: Final answer
    x = 91.35

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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.