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Finding the Fourth Proportional to 107.58, 148.40 and 78.04

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Solution

The fourth proportional to 107.58, 148.40 and 78.04 is: 107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.58 : 148.40 = 78.04 : x
  2. Step 2: Convert to fraction form
    107.58/148.40 = 78.04/x
  3. Step 3: Cross multiply
    107.58x = 148.40 × 78.04
  4. Step 4: Simplify right side
    107.58x = 11,580.39
  5. Step 5: Solve for x
    x = 11,580.39/107.58
  6. Step 6: Final answer
    x = 107.64

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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.