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Finding the Fourth Proportional to 107.78, 161.64 and 50.00

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Solution

The fourth proportional to 107.78, 161.64 and 50.00 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 161.64 = 50.00 : x
  2. Step 2: Convert to fraction form
    107.78/161.64 = 50.00/x
  3. Step 3: Cross multiply
    107.78x = 161.64 × 50.00
  4. Step 4: Simplify right side
    107.78x = 8,081.19
  5. Step 5: Solve for x
    x = 8,081.19/107.78
  6. Step 6: Final answer
    x = 74.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.