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Finding the Fourth Proportional to 70,435.70, 105,665.85 and 30,991.79

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Solution

The fourth proportional to 70,435.70, 105,665.85 and 30,991.79 is: 46,493.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,435.70 : 105,665.85 = 30,991.79 : x
  2. Step 2: Convert to fraction form
    70,435.70/105,665.85 = 30,991.79/x
  3. Step 3: Cross multiply
    70,435.70x = 105,665.85 × 30,991.79
  4. Step 4: Simplify right side
    70,435.70x = 3,274,773,833.37
  5. Step 5: Solve for x
    x = 3,274,773,833.37/70,435.70
  6. Step 6: Final answer
    x = 46,493.10

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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.