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Finding the Fourth Proportional to 79.95, 119.45 and 78.51

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Solution

The fourth proportional to 79.95, 119.45 and 78.51 is: 117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.95 : 119.45 = 78.51 : x
  2. Step 2: Convert to fraction form
    79.95/119.45 = 78.51/x
  3. Step 3: Cross multiply
    79.95x = 119.45 × 78.51
  4. Step 4: Simplify right side
    79.95x = 9,378.02
  5. Step 5: Solve for x
    x = 9,378.02/79.95
  6. Step 6: Final answer
    x = 117.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.