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Finding the Fourth Proportional to 101.02, 151.31 and 78.03

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Solution

The fourth proportional to 101.02, 151.31 and 78.03 is: 116.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.02 : 151.31 = 78.03 : x
  2. Step 2: Convert to fraction form
    101.02/151.31 = 78.03/x
  3. Step 3: Cross multiply
    101.02x = 151.31 × 78.03
  4. Step 4: Simplify right side
    101.02x = 11,806.72
  5. Step 5: Solve for x
    x = 11,806.72/101.02
  6. Step 6: Final answer
    x = 116.88

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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.