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Finding the Fourth Proportional to 109.54, 151.19 and 72.63

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Solution

The fourth proportional to 109.54, 151.19 and 72.63 is: 100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.54 : 151.19 = 72.63 : x
  2. Step 2: Convert to fraction form
    109.54/151.19 = 72.63/x
  3. Step 3: Cross multiply
    109.54x = 151.19 × 72.63
  4. Step 4: Simplify right side
    109.54x = 10,980.93
  5. Step 5: Solve for x
    x = 10,980.93/109.54
  6. Step 6: Final answer
    x = 100.25

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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.