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Finding the Fourth Proportional to 112.50, 154.80 and 87.84

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Solution

The fourth proportional to 112.50, 154.80 and 87.84 is: 120.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 154.80 = 87.84 : x
  2. Step 2: Convert to fraction form
    112.50/154.80 = 87.84/x
  3. Step 3: Cross multiply
    112.50x = 154.80 × 87.84
  4. Step 4: Simplify right side
    112.50x = 13,597.63
  5. Step 5: Solve for x
    x = 13,597.63/112.50
  6. Step 6: Final answer
    x = 120.87

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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.