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Finding the Fourth Proportional to 147.70, 203.73 and 98.65

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Solution

The fourth proportional to 147.70, 203.73 and 98.65 is: 136.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 203.73 = 98.65 : x
  2. Step 2: Convert to fraction form
    147.70/203.73 = 98.65/x
  3. Step 3: Cross multiply
    147.70x = 203.73 × 98.65
  4. Step 4: Simplify right side
    147.70x = 20,097.96
  5. Step 5: Solve for x
    x = 20,097.96/147.70
  6. Step 6: Final answer
    x = 136.07

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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.