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Finding the Fourth Proportional to 299,702.50, 449,553.75 and 78,086.50

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Solution

The fourth proportional to 299,702.50, 449,553.75 and 78,086.50 is: 117,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702.50 : 449,553.75 = 78,086.50 : x
  2. Step 2: Convert to fraction form
    299,702.50/449,553.75 = 78,086.50/x
  3. Step 3: Cross multiply
    299,702.50x = 449,553.75 × 78,086.50
  4. Step 4: Simplify right side
    299,702.50x = 35,104,078,899.38
  5. Step 5: Solve for x
    x = 35,104,078,899.38/299,702.50
  6. Step 6: Final answer
    x = 117,129.75

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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.