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Finding the Fourth Proportional to 104.78, 144.54 and 72.02

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Solution

The fourth proportional to 104.78, 144.54 and 72.02 is: 99.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.78 : 144.54 = 72.02 : x
  2. Step 2: Convert to fraction form
    104.78/144.54 = 72.02/x
  3. Step 3: Cross multiply
    104.78x = 144.54 × 72.02
  4. Step 4: Simplify right side
    104.78x = 10,409.77
  5. Step 5: Solve for x
    x = 10,409.77/104.78
  6. Step 6: Final answer
    x = 99.35

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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.