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Finding the Fourth Proportional to 103.79, 143.23 and 57.16

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Solution

The fourth proportional to 103.79, 143.23 and 57.16 is: 78.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.79 : 143.23 = 57.16 : x
  2. Step 2: Convert to fraction form
    103.79/143.23 = 57.16/x
  3. Step 3: Cross multiply
    103.79x = 143.23 × 57.16
  4. Step 4: Simplify right side
    103.79x = 8,186.02
  5. Step 5: Solve for x
    x = 8,186.02/103.79
  6. Step 6: Final answer
    x = 78.87

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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.