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Finding the Fourth Proportional to 85.69, 117.93 and 61.08

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Solution

The fourth proportional to 85.69, 117.93 and 61.08 is: 84.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 117.93 = 61.08 : x
  2. Step 2: Convert to fraction form
    85.69/117.93 = 61.08/x
  3. Step 3: Cross multiply
    85.69x = 117.93 × 61.08
  4. Step 4: Simplify right side
    85.69x = 7,203.16
  5. Step 5: Solve for x
    x = 7,203.16/85.69
  6. Step 6: Final answer
    x = 84.06

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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.