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Finding the Fourth Proportional to 105.40, 157.90 and 82.50

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Solution

The fourth proportional to 105.40, 157.90 and 82.50 is: 123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 157.90 = 82.50 : x
  2. Step 2: Convert to fraction form
    105.40/157.90 = 82.50/x
  3. Step 3: Cross multiply
    105.40x = 157.90 × 82.50
  4. Step 4: Simplify right side
    105.40x = 13,026.75
  5. Step 5: Solve for x
    x = 13,026.75/105.40
  6. Step 6: Final answer
    x = 123.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.