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Finding the Fourth Proportional to 78.51, 118.20 and 61.61

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Solution

The fourth proportional to 78.51, 118.20 and 61.61 is: 92.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.51 : 118.20 = 61.61 : x
  2. Step 2: Convert to fraction form
    78.51/118.20 = 61.61/x
  3. Step 3: Cross multiply
    78.51x = 118.20 × 61.61
  4. Step 4: Simplify right side
    78.51x = 7,282.60
  5. Step 5: Solve for x
    x = 7,282.60/78.51
  6. Step 6: Final answer
    x = 92.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.