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Finding the Fourth Proportional to 131.63, 181.78 and 105.74

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Solution

The fourth proportional to 131.63, 181.78 and 105.74 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 181.78 = 105.74 : x
  2. Step 2: Convert to fraction form
    131.63/181.78 = 105.74/x
  3. Step 3: Cross multiply
    131.63x = 181.78 × 105.74
  4. Step 4: Simplify right side
    131.63x = 19,220.89
  5. Step 5: Solve for x
    x = 19,220.89/131.63
  6. Step 6: Final answer
    x = 146.03

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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.