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Finding the Fourth Proportional to 78.35, 108.23 and 75.02

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Solution

The fourth proportional to 78.35, 108.23 and 75.02 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.35 : 108.23 = 75.02 : x
  2. Step 2: Convert to fraction form
    78.35/108.23 = 75.02/x
  3. Step 3: Cross multiply
    78.35x = 108.23 × 75.02
  4. Step 4: Simplify right side
    78.35x = 8,118.50
  5. Step 5: Solve for x
    x = 8,118.50/78.35
  6. Step 6: Final answer
    x = 103.62

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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.