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Finding the Fourth Proportional to 76,893.50, 115,446.49 and 53,142.53

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Solution

The fourth proportional to 76,893.50, 115,446.49 and 53,142.53 is: 79,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,893.50 : 115,446.49 = 53,142.53 : x
  2. Step 2: Convert to fraction form
    76,893.50/115,446.49 = 53,142.53/x
  3. Step 3: Cross multiply
    76,893.50x = 115,446.49 × 53,142.53
  4. Step 4: Simplify right side
    76,893.50x = 6,135,118,796.44
  5. Step 5: Solve for x
    x = 6,135,118,796.44/76,893.50
  6. Step 6: Final answer
    x = 79,787.22

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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.