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Finding the Fourth Proportional to 73.78, 109.79 and 73.60

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Solution

The fourth proportional to 73.78, 109.79 and 73.60 is: 109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.78 : 109.79 = 73.60 : x
  2. Step 2: Convert to fraction form
    73.78/109.79 = 73.60/x
  3. Step 3: Cross multiply
    73.78x = 109.79 × 73.60
  4. Step 4: Simplify right side
    73.78x = 8,080.54
  5. Step 5: Solve for x
    x = 8,080.54/73.78
  6. Step 6: Final answer
    x = 109.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.