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Finding the Fourth Proportional to 122.69, 183.88 and 64.77

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Solution

The fourth proportional to 122.69, 183.88 and 64.77 is: 97.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.69 : 183.88 = 64.77 : x
  2. Step 2: Convert to fraction form
    122.69/183.88 = 64.77/x
  3. Step 3: Cross multiply
    122.69x = 183.88 × 64.77
  4. Step 4: Simplify right side
    122.69x = 11,908.93
  5. Step 5: Solve for x
    x = 11,908.93/122.69
  6. Step 6: Final answer
    x = 97.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.