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Finding the Fourth Proportional to 105.76, 157.76 and 98.76

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Solution

The fourth proportional to 105.76, 157.76 and 98.76 is: 147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 157.76 = 98.76 : x
  2. Step 2: Convert to fraction form
    105.76/157.76 = 98.76/x
  3. Step 3: Cross multiply
    105.76x = 157.76 × 98.76
  4. Step 4: Simplify right side
    105.76x = 15,580.38
  5. Step 5: Solve for x
    x = 15,580.38/105.76
  6. Step 6: Final answer
    x = 147.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.