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Finding the Fourth Proportional to 75.22, 112.36 and 61.54

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Solution

The fourth proportional to 75.22, 112.36 and 61.54 is: 91.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 112.36 = 61.54 : x
  2. Step 2: Convert to fraction form
    75.22/112.36 = 61.54/x
  3. Step 3: Cross multiply
    75.22x = 112.36 × 61.54
  4. Step 4: Simplify right side
    75.22x = 6,914.63
  5. Step 5: Solve for x
    x = 6,914.63/75.22
  6. Step 6: Final answer
    x = 91.93

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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.