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Finding the Fourth Proportional to 78.45, 116.43 and 74.81

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Solution

The fourth proportional to 78.45, 116.43 and 74.81 is: 111.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.45 : 116.43 = 74.81 : x
  2. Step 2: Convert to fraction form
    78.45/116.43 = 74.81/x
  3. Step 3: Cross multiply
    78.45x = 116.43 × 74.81
  4. Step 4: Simplify right side
    78.45x = 8,709.55
  5. Step 5: Solve for x
    x = 8,709.55/78.45
  6. Step 6: Final answer
    x = 111.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.