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Finding the Fourth Proportional to 123.51, 185 and 77.89

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Solution

The fourth proportional to 123.51, 185 and 77.89 is: 116.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 185 = 77.89 : x
  2. Step 2: Convert to fraction form
    123.51/185 = 77.89/x
  3. Step 3: Cross multiply
    123.51x = 185 × 77.89
  4. Step 4: Simplify right side
    123.51x = 14,409.65
  5. Step 5: Solve for x
    x = 14,409.65/123.51
  6. Step 6: Final answer
    x = 116.67

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Why These Related Problems?

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