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Finding the Fourth Proportional to 123.64, 185.36 and 78

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Solution

The fourth proportional to 123.64, 185.36 and 78 is: 116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.64 : 185.36 = 78 : x
  2. Step 2: Convert to fraction form
    123.64/185.36 = 78/x
  3. Step 3: Cross multiply
    123.64x = 185.36 × 78
  4. Step 4: Simplify right side
    123.64x = 14,458.08
  5. Step 5: Solve for x
    x = 14,458.08/123.64
  6. Step 6: Final answer
    x = 116.94

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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.