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Finding the Fourth Proportional to 45,694.56, 68,490 and 19,382.88

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Solution

The fourth proportional to 45,694.56, 68,490 and 19,382.88 is: 29,052.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,694.56 : 68,490 = 19,382.88 : x
  2. Step 2: Convert to fraction form
    45,694.56/68,490 = 19,382.88/x
  3. Step 3: Cross multiply
    45,694.56x = 68,490 × 19,382.88
  4. Step 4: Simplify right side
    45,694.56x = 1,327,533,451.20
  5. Step 5: Solve for x
    x = 1,327,533,451.20/45,694.56
  6. Step 6: Final answer
    x = 29,052.33

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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.