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Finding the Fourth Proportional to 103.43, 142.62 and 98.57

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Solution

The fourth proportional to 103.43, 142.62 and 98.57 is: 135.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.43 : 142.62 = 98.57 : x
  2. Step 2: Convert to fraction form
    103.43/142.62 = 98.57/x
  3. Step 3: Cross multiply
    103.43x = 142.62 × 98.57
  4. Step 4: Simplify right side
    103.43x = 14,058.05
  5. Step 5: Solve for x
    x = 14,058.05/103.43
  6. Step 6: Final answer
    x = 135.92

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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.