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Finding the Fourth Proportional to 112.64, 155.84 and 109.92

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Solution

The fourth proportional to 112.64, 155.84 and 109.92 is: 152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.64 : 155.84 = 109.92 : x
  2. Step 2: Convert to fraction form
    112.64/155.84 = 109.92/x
  3. Step 3: Cross multiply
    112.64x = 155.84 × 109.92
  4. Step 4: Simplify right side
    112.64x = 17,129.93
  5. Step 5: Solve for x
    x = 17,129.93/112.64
  6. Step 6: Final answer
    x = 152.08

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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.