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Finding the Fourth Proportional to 77.65, 117.02 and 73.99

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Solution

The fourth proportional to 77.65, 117.02 and 73.99 is: 111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.65 : 117.02 = 73.99 : x
  2. Step 2: Convert to fraction form
    77.65/117.02 = 73.99/x
  3. Step 3: Cross multiply
    77.65x = 117.02 × 73.99
  4. Step 4: Simplify right side
    77.65x = 8,658.31
  5. Step 5: Solve for x
    x = 8,658.31/77.65
  6. Step 6: Final answer
    x = 111.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.