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Finding the Fourth Proportional to 147.81, 204.19 and 104.07

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Solution

The fourth proportional to 147.81, 204.19 and 104.07 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.81 : 204.19 = 104.07 : x
  2. Step 2: Convert to fraction form
    147.81/204.19 = 104.07/x
  3. Step 3: Cross multiply
    147.81x = 204.19 × 104.07
  4. Step 4: Simplify right side
    147.81x = 21,250.05
  5. Step 5: Solve for x
    x = 21,250.05/147.81
  6. Step 6: Final answer
    x = 143.77

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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.