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Finding the Fourth Proportional to 107.99, 149.02 and 58.86

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Solution

The fourth proportional to 107.99, 149.02 and 58.86 is: 81.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.99 : 149.02 = 58.86 : x
  2. Step 2: Convert to fraction form
    107.99/149.02 = 58.86/x
  3. Step 3: Cross multiply
    107.99x = 149.02 × 58.86
  4. Step 4: Simplify right side
    107.99x = 8,771.32
  5. Step 5: Solve for x
    x = 8,771.32/107.99
  6. Step 6: Final answer
    x = 81.22

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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.