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Finding the Fourth Proportional to 75.17, 113.31 and 61.81

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Solution

The fourth proportional to 75.17, 113.31 and 61.81 is: 93.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.17 : 113.31 = 61.81 : x
  2. Step 2: Convert to fraction form
    75.17/113.31 = 61.81/x
  3. Step 3: Cross multiply
    75.17x = 113.31 × 61.81
  4. Step 4: Simplify right side
    75.17x = 7,003.41
  5. Step 5: Solve for x
    x = 7,003.41/75.17
  6. Step 6: Final answer
    x = 93.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.