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Finding the Fourth Proportional to 107.50, 148.38 and 78.34

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Solution

The fourth proportional to 107.50, 148.38 and 78.34 is: 108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.50 : 148.38 = 78.34 : x
  2. Step 2: Convert to fraction form
    107.50/148.38 = 78.34/x
  3. Step 3: Cross multiply
    107.50x = 148.38 × 78.34
  4. Step 4: Simplify right side
    107.50x = 11,624.09
  5. Step 5: Solve for x
    x = 11,624.09/107.50
  6. Step 6: Final answer
    x = 108.13

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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.