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Finding the Fourth Proportional to 68,223.86, 102,346.74 and 28,786.79

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Solution

The fourth proportional to 68,223.86, 102,346.74 and 28,786.79 is: 43,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223.86 : 102,346.74 = 28,786.79 : x
  2. Step 2: Convert to fraction form
    68,223.86/102,346.74 = 28,786.79/x
  3. Step 3: Cross multiply
    68,223.86x = 102,346.74 × 28,786.79
  4. Step 4: Simplify right side
    68,223.86x = 2,946,234,111.56
  5. Step 5: Solve for x
    x = 2,946,234,111.56/68,223.86
  6. Step 6: Final answer
    x = 43,184.81

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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.