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Finding the Fourth Proportional to 112.69, 155.56 and 85.07

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Solution

The fourth proportional to 112.69, 155.56 and 85.07 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.69 : 155.56 = 85.07 : x
  2. Step 2: Convert to fraction form
    112.69/155.56 = 85.07/x
  3. Step 3: Cross multiply
    112.69x = 155.56 × 85.07
  4. Step 4: Simplify right side
    112.69x = 13,232.71
  5. Step 5: Solve for x
    x = 13,232.71/112.69
  6. Step 6: Final answer
    x = 117.43

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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.