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Finding the Fourth Proportional to 101.19, 151.65 and 85.17

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Solution

The fourth proportional to 101.19, 151.65 and 85.17 is: 127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.19 : 151.65 = 85.17 : x
  2. Step 2: Convert to fraction form
    101.19/151.65 = 85.17/x
  3. Step 3: Cross multiply
    101.19x = 151.65 × 85.17
  4. Step 4: Simplify right side
    101.19x = 12,916.03
  5. Step 5: Solve for x
    x = 12,916.03/101.19
  6. Step 6: Final answer
    x = 127.64

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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.