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Finding the Fourth Proportional to 70,105.82, 105,052.32 and 51,398.31

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Solution

The fourth proportional to 70,105.82, 105,052.32 and 51,398.31 is: 77,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.82 : 105,052.32 = 51,398.31 : x
  2. Step 2: Convert to fraction form
    70,105.82/105,052.32 = 51,398.31/x
  3. Step 3: Cross multiply
    70,105.82x = 105,052.32 × 51,398.31
  4. Step 4: Simplify right side
    70,105.82x = 5,399,511,709.58
  5. Step 5: Solve for x
    x = 5,399,511,709.58/70,105.82
  6. Step 6: Final answer
    x = 77,019.46

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Why These Related Problems?

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