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Finding the Fourth Proportional to 98.75, 147.14 and 92.54

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Solution

The fourth proportional to 98.75, 147.14 and 92.54 is: 137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.75 : 147.14 = 92.54 : x
  2. Step 2: Convert to fraction form
    98.75/147.14 = 92.54/x
  3. Step 3: Cross multiply
    98.75x = 147.14 × 92.54
  4. Step 4: Simplify right side
    98.75x = 13,616.34
  5. Step 5: Solve for x
    x = 13,616.34/98.75
  6. Step 6: Final answer
    x = 137.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.