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Finding the Fourth Proportional to 81.84, 122.51 and 52.99

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Solution

The fourth proportional to 81.84, 122.51 and 52.99 is: 79.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.84 : 122.51 = 52.99 : x
  2. Step 2: Convert to fraction form
    81.84/122.51 = 52.99/x
  3. Step 3: Cross multiply
    81.84x = 122.51 × 52.99
  4. Step 4: Simplify right side
    81.84x = 6,491.63
  5. Step 5: Solve for x
    x = 6,491.63/81.84
  6. Step 6: Final answer
    x = 79.32

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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.