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Finding the Fourth Proportional to 85.34, 117.75 and 50.36

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Solution

The fourth proportional to 85.34, 117.75 and 50.36 is: 69.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.34 : 117.75 = 50.36 : x
  2. Step 2: Convert to fraction form
    85.34/117.75 = 50.36/x
  3. Step 3: Cross multiply
    85.34x = 117.75 × 50.36
  4. Step 4: Simplify right side
    85.34x = 5,929.89
  5. Step 5: Solve for x
    x = 5,929.89/85.34
  6. Step 6: Final answer
    x = 69.49

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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.