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Finding the Fourth Proportional to 102.09, 140.99 and 85.80

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Solution

The fourth proportional to 102.09, 140.99 and 85.80 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.09 : 140.99 = 85.80 : x
  2. Step 2: Convert to fraction form
    102.09/140.99 = 85.80/x
  3. Step 3: Cross multiply
    102.09x = 140.99 × 85.80
  4. Step 4: Simplify right side
    102.09x = 12,096.51
  5. Step 5: Solve for x
    x = 12,096.51/102.09
  6. Step 6: Final answer
    x = 118.49

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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.