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Finding the Fourth Proportional to 262,783.23, 394,109.23 and 85,341.03

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Solution

The fourth proportional to 262,783.23, 394,109.23 and 85,341.03 is: 127,990.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,783.23 : 394,109.23 = 85,341.03 : x
  2. Step 2: Convert to fraction form
    262,783.23/394,109.23 = 85,341.03/x
  3. Step 3: Cross multiply
    262,783.23x = 394,109.23 × 85,341.03
  4. Step 4: Simplify right side
    262,783.23x = 33,633,687,620.71
  5. Step 5: Solve for x
    x = 33,633,687,620.71/262,783.23
  6. Step 6: Final answer
    x = 127,990.24

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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.