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Finding the Fourth Proportional to 103.12, 153.73 and 92.86

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Solution

The fourth proportional to 103.12, 153.73 and 92.86 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.12 : 153.73 = 92.86 : x
  2. Step 2: Convert to fraction form
    103.12/153.73 = 92.86/x
  3. Step 3: Cross multiply
    103.12x = 153.73 × 92.86
  4. Step 4: Simplify right side
    103.12x = 14,275.37
  5. Step 5: Solve for x
    x = 14,275.37/103.12
  6. Step 6: Final answer
    x = 138.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.