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Finding the Fourth Proportional to 105.70, 146.56 and 100.23

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Solution

The fourth proportional to 105.70, 146.56 and 100.23 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.70 : 146.56 = 100.23 : x
  2. Step 2: Convert to fraction form
    105.70/146.56 = 100.23/x
  3. Step 3: Cross multiply
    105.70x = 146.56 × 100.23
  4. Step 4: Simplify right side
    105.70x = 14,689.71
  5. Step 5: Solve for x
    x = 14,689.71/105.70
  6. Step 6: Final answer
    x = 138.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.