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Finding the Fourth Proportional to 112.39, 155.12 and 73.06

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Solution

The fourth proportional to 112.39, 155.12 and 73.06 is: 100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.39 : 155.12 = 73.06 : x
  2. Step 2: Convert to fraction form
    112.39/155.12 = 73.06/x
  3. Step 3: Cross multiply
    112.39x = 155.12 × 73.06
  4. Step 4: Simplify right side
    112.39x = 11,332.31
  5. Step 5: Solve for x
    x = 11,332.31/112.39
  6. Step 6: Final answer
    x = 100.83

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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.