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Finding the Fourth Proportional to 85.61, 128.61 and 78.99

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Solution

The fourth proportional to 85.61, 128.61 and 78.99 is: 118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.61 : 128.61 = 78.99 : x
  2. Step 2: Convert to fraction form
    85.61/128.61 = 78.99/x
  3. Step 3: Cross multiply
    85.61x = 128.61 × 78.99
  4. Step 4: Simplify right side
    85.61x = 10,158.90
  5. Step 5: Solve for x
    x = 10,158.90/85.61
  6. Step 6: Final answer
    x = 118.67

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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.