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Finding the Fourth Proportional to 112.81, 155.68 and 61.06

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Solution

The fourth proportional to 112.81, 155.68 and 61.06 is: 84.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.81 : 155.68 = 61.06 : x
  2. Step 2: Convert to fraction form
    112.81/155.68 = 61.06/x
  3. Step 3: Cross multiply
    112.81x = 155.68 × 61.06
  4. Step 4: Simplify right side
    112.81x = 9,506.29
  5. Step 5: Solve for x
    x = 9,506.29/112.81
  6. Step 6: Final answer
    x = 84.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.