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Finding the Fourth Proportional to 107.86, 147.98 and 97.24

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Solution

The fourth proportional to 107.86, 147.98 and 97.24 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.86 : 147.98 = 97.24 : x
  2. Step 2: Convert to fraction form
    107.86/147.98 = 97.24/x
  3. Step 3: Cross multiply
    107.86x = 147.98 × 97.24
  4. Step 4: Simplify right side
    107.86x = 14,389.58
  5. Step 5: Solve for x
    x = 14,389.58/107.86
  6. Step 6: Final answer
    x = 133.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.