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Finding the Fourth Proportional to 111.74, 154.08 and 78.57

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Solution

The fourth proportional to 111.74, 154.08 and 78.57 is: 108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.74 : 154.08 = 78.57 : x
  2. Step 2: Convert to fraction form
    111.74/154.08 = 78.57/x
  3. Step 3: Cross multiply
    111.74x = 154.08 × 78.57
  4. Step 4: Simplify right side
    111.74x = 12,106.07
  5. Step 5: Solve for x
    x = 12,106.07/111.74
  6. Step 6: Final answer
    x = 108.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.