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Finding the Fourth Proportional to 92,647, 138,978.18 and 26,983

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Solution

The fourth proportional to 92,647, 138,978.18 and 26,983 is: 40,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,647 : 138,978.18 = 26,983 : x
  2. Step 2: Convert to fraction form
    92,647/138,978.18 = 26,983/x
  3. Step 3: Cross multiply
    92,647x = 138,978.18 × 26,983
  4. Step 4: Simplify right side
    92,647x = 3,750,048,230.94
  5. Step 5: Solve for x
    x = 3,750,048,230.94/92,647
  6. Step 6: Final answer
    x = 40,476.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.