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Finding the Fourth Proportional to 72.62, 100.21 and 57.08

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Solution

The fourth proportional to 72.62, 100.21 and 57.08 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.62 : 100.21 = 57.08 : x
  2. Step 2: Convert to fraction form
    72.62/100.21 = 57.08/x
  3. Step 3: Cross multiply
    72.62x = 100.21 × 57.08
  4. Step 4: Simplify right side
    72.62x = 5,719.99
  5. Step 5: Solve for x
    x = 5,719.99/72.62
  6. Step 6: Final answer
    x = 78.77

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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.