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Finding the Fourth Proportional to 104.70, 143.64 and 102.41

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Solution

The fourth proportional to 104.70, 143.64 and 102.41 is: 140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.70 : 143.64 = 102.41 : x
  2. Step 2: Convert to fraction form
    104.70/143.64 = 102.41/x
  3. Step 3: Cross multiply
    104.70x = 143.64 × 102.41
  4. Step 4: Simplify right side
    104.70x = 14,710.17
  5. Step 5: Solve for x
    x = 14,710.17/104.70
  6. Step 6: Final answer
    x = 140.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.