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Finding the Fourth Proportional to 74.69, 103.09 and 45.19

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Solution

The fourth proportional to 74.69, 103.09 and 45.19 is: 62.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.69 : 103.09 = 45.19 : x
  2. Step 2: Convert to fraction form
    74.69/103.09 = 45.19/x
  3. Step 3: Cross multiply
    74.69x = 103.09 × 45.19
  4. Step 4: Simplify right side
    74.69x = 4,657.90
  5. Step 5: Solve for x
    x = 4,657.90/74.69
  6. Step 6: Final answer
    x = 62.36

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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.