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Finding the Fourth Proportional to 74.92, 103.50 and 56.50

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Solution

The fourth proportional to 74.92, 103.50 and 56.50 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.92 : 103.50 = 56.50 : x
  2. Step 2: Convert to fraction form
    74.92/103.50 = 56.50/x
  3. Step 3: Cross multiply
    74.92x = 103.50 × 56.50
  4. Step 4: Simplify right side
    74.92x = 5,847.75
  5. Step 5: Solve for x
    x = 5,847.75/74.92
  6. Step 6: Final answer
    x = 78.05

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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.