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Finding the Fourth Proportional to 107.14, 147.72 and 77.98

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Solution

The fourth proportional to 107.14, 147.72 and 77.98 is: 107.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 147.72 = 77.98 : x
  2. Step 2: Convert to fraction form
    107.14/147.72 = 77.98/x
  3. Step 3: Cross multiply
    107.14x = 147.72 × 77.98
  4. Step 4: Simplify right side
    107.14x = 11,519.21
  5. Step 5: Solve for x
    x = 11,519.21/107.14
  6. Step 6: Final answer
    x = 107.52

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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.