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Finding the Fourth Proportional to 104.58, 156.26 and 75.56

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Solution

The fourth proportional to 104.58, 156.26 and 75.56 is: 112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.58 : 156.26 = 75.56 : x
  2. Step 2: Convert to fraction form
    104.58/156.26 = 75.56/x
  3. Step 3: Cross multiply
    104.58x = 156.26 × 75.56
  4. Step 4: Simplify right side
    104.58x = 11,807.01
  5. Step 5: Solve for x
    x = 11,807.01/104.58
  6. Step 6: Final answer
    x = 112.90

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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.