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Finding the Fourth Proportional to 100.06, 137.78 and 88.83

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Solution

The fourth proportional to 100.06, 137.78 and 88.83 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.06 : 137.78 = 88.83 : x
  2. Step 2: Convert to fraction form
    100.06/137.78 = 88.83/x
  3. Step 3: Cross multiply
    100.06x = 137.78 × 88.83
  4. Step 4: Simplify right side
    100.06x = 12,239.00
  5. Step 5: Solve for x
    x = 12,239.00/100.06
  6. Step 6: Final answer
    x = 122.32

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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.