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Finding the Fourth Proportional to 85.07, 117.26 and 57.43

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Solution

The fourth proportional to 85.07, 117.26 and 57.43 is: 79.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.07 : 117.26 = 57.43 : x
  2. Step 2: Convert to fraction form
    85.07/117.26 = 57.43/x
  3. Step 3: Cross multiply
    85.07x = 117.26 × 57.43
  4. Step 4: Simplify right side
    85.07x = 6,734.24
  5. Step 5: Solve for x
    x = 6,734.24/85.07
  6. Step 6: Final answer
    x = 79.16

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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.