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Finding the Fourth Proportional to 101.59, 152.21 and 78.77

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Solution

The fourth proportional to 101.59, 152.21 and 78.77 is: 118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.59 : 152.21 = 78.77 : x
  2. Step 2: Convert to fraction form
    101.59/152.21 = 78.77/x
  3. Step 3: Cross multiply
    101.59x = 152.21 × 78.77
  4. Step 4: Simplify right side
    101.59x = 11,990.16
  5. Step 5: Solve for x
    x = 11,990.16/101.59
  6. Step 6: Final answer
    x = 118.03

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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.