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Finding the Fourth Proportional to 92.50, 138.15 and 73.19

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Solution

The fourth proportional to 92.50, 138.15 and 73.19 is: 109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.50 : 138.15 = 73.19 : x
  2. Step 2: Convert to fraction form
    92.50/138.15 = 73.19/x
  3. Step 3: Cross multiply
    92.50x = 138.15 × 73.19
  4. Step 4: Simplify right side
    92.50x = 10,111.54
  5. Step 5: Solve for x
    x = 10,111.54/92.50
  6. Step 6: Final answer
    x = 109.32

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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.