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Finding the Fourth Proportional to 68,223.71, 102,346.50 and 28,786.64

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Solution

The fourth proportional to 68,223.71, 102,346.50 and 28,786.64 is: 43,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,223.71 : 102,346.50 = 28,786.64 : x
  2. Step 2: Convert to fraction form
    68,223.71/102,346.50 = 28,786.64/x
  3. Step 3: Cross multiply
    68,223.71x = 102,346.50 × 28,786.64
  4. Step 4: Simplify right side
    68,223.71x = 2,946,211,446.98
  5. Step 5: Solve for x
    x = 2,946,211,446.98/68,223.71
  6. Step 6: Final answer
    x = 43,184.57

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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.