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Finding the Fourth Proportional to 113.06, 156.02 and 63.94

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Solution

The fourth proportional to 113.06, 156.02 and 63.94 is: 88.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 156.02 = 63.94 : x
  2. Step 2: Convert to fraction form
    113.06/156.02 = 63.94/x
  3. Step 3: Cross multiply
    113.06x = 156.02 × 63.94
  4. Step 4: Simplify right side
    113.06x = 9,975.92
  5. Step 5: Solve for x
    x = 9,975.92/113.06
  6. Step 6: Final answer
    x = 88.24

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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.