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Finding the Fourth Proportional to 103.76, 143.18 and 57.76

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Solution

The fourth proportional to 103.76, 143.18 and 57.76 is: 79.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 143.18 = 57.76 : x
  2. Step 2: Convert to fraction form
    103.76/143.18 = 57.76/x
  3. Step 3: Cross multiply
    103.76x = 143.18 × 57.76
  4. Step 4: Simplify right side
    103.76x = 8,270.08
  5. Step 5: Solve for x
    x = 8,270.08/103.76
  6. Step 6: Final answer
    x = 79.70

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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.