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Finding the Fourth Proportional to 98.01, 135 and 78.57

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Solution

The fourth proportional to 98.01, 135 and 78.57 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 135 = 78.57 : x
  2. Step 2: Convert to fraction form
    98.01/135 = 78.57/x
  3. Step 3: Cross multiply
    98.01x = 135 × 78.57
  4. Step 4: Simplify right side
    98.01x = 10,606.95
  5. Step 5: Solve for x
    x = 10,606.95/98.01
  6. Step 6: Final answer
    x = 108.22

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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.