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Finding the Fourth Proportional to 103.63, 142.86 and 85.18

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Solution

The fourth proportional to 103.63, 142.86 and 85.18 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 142.86 = 85.18 : x
  2. Step 2: Convert to fraction form
    103.63/142.86 = 85.18/x
  3. Step 3: Cross multiply
    103.63x = 142.86 × 85.18
  4. Step 4: Simplify right side
    103.63x = 12,168.81
  5. Step 5: Solve for x
    x = 12,168.81/103.63
  6. Step 6: Final answer
    x = 117.43

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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.