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Finding the Fourth Proportional to 147.70, 203.82 and 85.56

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Solution

The fourth proportional to 147.70, 203.82 and 85.56 is: 118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 203.82 = 85.56 : x
  2. Step 2: Convert to fraction form
    147.70/203.82 = 85.56/x
  3. Step 3: Cross multiply
    147.70x = 203.82 × 85.56
  4. Step 4: Simplify right side
    147.70x = 17,438.84
  5. Step 5: Solve for x
    x = 17,438.84/147.70
  6. Step 6: Final answer
    x = 118.07

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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.