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Finding the Fourth Proportional to 114.52, 172.02 and 68.98

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Solution

The fourth proportional to 114.52, 172.02 and 68.98 is: 103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.52 : 172.02 = 68.98 : x
  2. Step 2: Convert to fraction form
    114.52/172.02 = 68.98/x
  3. Step 3: Cross multiply
    114.52x = 172.02 × 68.98
  4. Step 4: Simplify right side
    114.52x = 11,865.94
  5. Step 5: Solve for x
    x = 11,865.94/114.52
  6. Step 6: Final answer
    x = 103.61

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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.