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Finding the Fourth Proportional to 126.65, 174.86 and 77.60

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Solution

The fourth proportional to 126.65, 174.86 and 77.60 is: 107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.65 : 174.86 = 77.60 : x
  2. Step 2: Convert to fraction form
    126.65/174.86 = 77.60/x
  3. Step 3: Cross multiply
    126.65x = 174.86 × 77.60
  4. Step 4: Simplify right side
    126.65x = 13,567.87
  5. Step 5: Solve for x
    x = 13,567.87/126.65
  6. Step 6: Final answer
    x = 107.13

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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.