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Finding the Fourth Proportional to 84.30, 125.94 and 73.50

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Solution

The fourth proportional to 84.30, 125.94 and 73.50 is: 109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.30 : 125.94 = 73.50 : x
  2. Step 2: Convert to fraction form
    84.30/125.94 = 73.50/x
  3. Step 3: Cross multiply
    84.30x = 125.94 × 73.50
  4. Step 4: Simplify right side
    84.30x = 9,256.59
  5. Step 5: Solve for x
    x = 9,256.59/84.30
  6. Step 6: Final answer
    x = 109.81

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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.