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Finding the Fourth Proportional to 147.14, 220.36 and 86.09

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Solution

The fourth proportional to 147.14, 220.36 and 86.09 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.14 : 220.36 = 86.09 : x
  2. Step 2: Convert to fraction form
    147.14/220.36 = 86.09/x
  3. Step 3: Cross multiply
    147.14x = 220.36 × 86.09
  4. Step 4: Simplify right side
    147.14x = 18,970.36
  5. Step 5: Solve for x
    x = 18,970.36/147.14
  6. Step 6: Final answer
    x = 128.93

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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.