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Finding the Fourth Proportional to 45,803.78, 68,731.67 and 19,505.78

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Solution

The fourth proportional to 45,803.78, 68,731.67 and 19,505.78 is: 29,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,803.78 : 68,731.67 = 19,505.78 : x
  2. Step 2: Convert to fraction form
    45,803.78/68,731.67 = 19,505.78/x
  3. Step 3: Cross multiply
    45,803.78x = 68,731.67 × 19,505.78
  4. Step 4: Simplify right side
    45,803.78x = 1,340,664,834.05
  5. Step 5: Solve for x
    x = 1,340,664,834.05/45,803.78
  6. Step 6: Final answer
    x = 29,269.74

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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.