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Finding the Fourth Proportional to 78.48, 107.87 and 73.08

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Solution

The fourth proportional to 78.48, 107.87 and 73.08 is: 100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 107.87 = 73.08 : x
  2. Step 2: Convert to fraction form
    78.48/107.87 = 73.08/x
  3. Step 3: Cross multiply
    78.48x = 107.87 × 73.08
  4. Step 4: Simplify right side
    78.48x = 7,882.77
  5. Step 5: Solve for x
    x = 7,882.77/78.48
  6. Step 6: Final answer
    x = 100.44

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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.