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Finding the Fourth Proportional to 112.86, 154.78 and 104.76

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Solution

The fourth proportional to 112.86, 154.78 and 104.76 is: 143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.86 : 154.78 = 104.76 : x
  2. Step 2: Convert to fraction form
    112.86/154.78 = 104.76/x
  3. Step 3: Cross multiply
    112.86x = 154.78 × 104.76
  4. Step 4: Simplify right side
    112.86x = 16,214.49
  5. Step 5: Solve for x
    x = 16,214.49/112.86
  6. Step 6: Final answer
    x = 143.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.