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Finding the Fourth Proportional to 126.60, 174.71 and 76.80

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Solution

The fourth proportional to 126.60, 174.71 and 76.80 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.60 : 174.71 = 76.80 : x
  2. Step 2: Convert to fraction form
    126.60/174.71 = 76.80/x
  3. Step 3: Cross multiply
    126.60x = 174.71 × 76.80
  4. Step 4: Simplify right side
    126.60x = 13,417.34
  5. Step 5: Solve for x
    x = 13,417.34/126.60
  6. Step 6: Final answer
    x = 105.98

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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.