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Finding the Fourth Proportional to 105.02, 156.62 and 92.24

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Solution

The fourth proportional to 105.02, 156.62 and 92.24 is: 137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 156.62 = 92.24 : x
  2. Step 2: Convert to fraction form
    105.02/156.62 = 92.24/x
  3. Step 3: Cross multiply
    105.02x = 156.62 × 92.24
  4. Step 4: Simplify right side
    105.02x = 14,446.63
  5. Step 5: Solve for x
    x = 14,446.63/105.02
  6. Step 6: Final answer
    x = 137.56

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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.