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Finding the Fourth Proportional to 107.71, 148.64 and 58.59

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Solution

The fourth proportional to 107.71, 148.64 and 58.59 is: 80.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.71 : 148.64 = 58.59 : x
  2. Step 2: Convert to fraction form
    107.71/148.64 = 58.59/x
  3. Step 3: Cross multiply
    107.71x = 148.64 × 58.59
  4. Step 4: Simplify right side
    107.71x = 8,708.52
  5. Step 5: Solve for x
    x = 8,708.52/107.71
  6. Step 6: Final answer
    x = 80.85

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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.