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Finding the Fourth Proportional to 299,709, 449,563.50 and 78,093

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Solution

The fourth proportional to 299,709, 449,563.50 and 78,093 is: 117,139.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,709 : 449,563.50 = 78,093 : x
  2. Step 2: Convert to fraction form
    299,709/449,563.50 = 78,093/x
  3. Step 3: Cross multiply
    299,709x = 449,563.50 × 78,093
  4. Step 4: Simplify right side
    299,709x = 35,107,762,405.50
  5. Step 5: Solve for x
    x = 35,107,762,405.50/299,709
  6. Step 6: Final answer
    x = 117,139.50

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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.