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Finding the Fourth Proportional to 72.45, 100.02 and 68.30

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Solution

The fourth proportional to 72.45, 100.02 and 68.30 is: 94.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.45 : 100.02 = 68.30 : x
  2. Step 2: Convert to fraction form
    72.45/100.02 = 68.30/x
  3. Step 3: Cross multiply
    72.45x = 100.02 × 68.30
  4. Step 4: Simplify right side
    72.45x = 6,830.87
  5. Step 5: Solve for x
    x = 6,830.87/72.45
  6. Step 6: Final answer
    x = 94.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.