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Finding the Fourth Proportional to 78.98, 109.02 and 68.02

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Solution

The fourth proportional to 78.98, 109.02 and 68.02 is: 93.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.98 : 109.02 = 68.02 : x
  2. Step 2: Convert to fraction form
    78.98/109.02 = 68.02/x
  3. Step 3: Cross multiply
    78.98x = 109.02 × 68.02
  4. Step 4: Simplify right side
    78.98x = 7,415.54
  5. Step 5: Solve for x
    x = 7,415.54/78.98
  6. Step 6: Final answer
    x = 93.89

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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.