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Finding the Fourth Proportional to 101,638, 140,260.44 and 56,926

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Solution

The fourth proportional to 101,638, 140,260.44 and 56,926 is: 78,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,638 : 140,260.44 = 56,926 : x
  2. Step 2: Convert to fraction form
    101,638/140,260.44 = 56,926/x
  3. Step 3: Cross multiply
    101,638x = 140,260.44 × 56,926
  4. Step 4: Simplify right side
    101,638x = 7,984,465,807.44
  5. Step 5: Solve for x
    x = 7,984,465,807.44/101,638
  6. Step 6: Final answer
    x = 78,557.88

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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.