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Finding the Fourth Proportional to 45,600, 68,403.84 and 12,768

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Solution

The fourth proportional to 45,600, 68,403.84 and 12,768 is: 19,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,600 : 68,403.84 = 12,768 : x
  2. Step 2: Convert to fraction form
    45,600/68,403.84 = 12,768/x
  3. Step 3: Cross multiply
    45,600x = 68,403.84 × 12,768
  4. Step 4: Simplify right side
    45,600x = 873,380,229.12
  5. Step 5: Solve for x
    x = 873,380,229.12/45,600
  6. Step 6: Final answer
    x = 19,153.08

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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.