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Finding the Fourth Proportional to 70,657.79, 105,998.22 and 20,739.51

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Solution

The fourth proportional to 70,657.79, 105,998.22 and 20,739.51 is: 31,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.79 : 105,998.22 = 20,739.51 : x
  2. Step 2: Convert to fraction form
    70,657.79/105,998.22 = 20,739.51/x
  3. Step 3: Cross multiply
    70,657.79x = 105,998.22 × 20,739.51
  4. Step 4: Simplify right side
    70,657.79x = 2,198,351,143.67
  5. Step 5: Solve for x
    x = 2,198,351,143.67/70,657.79
  6. Step 6: Final answer
    x = 31,112.65

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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.