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Finding the Fourth Proportional to 54,905.80, 82,310.10 and 49,000.90

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Solution

The fourth proportional to 54,905.80, 82,310.10 and 49,000.90 is: 73,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,905.80 : 82,310.10 = 49,000.90 : x
  2. Step 2: Convert to fraction form
    54,905.80/82,310.10 = 49,000.90/x
  3. Step 3: Cross multiply
    54,905.80x = 82,310.10 × 49,000.90
  4. Step 4: Simplify right side
    54,905.80x = 4,033,268,979.09
  5. Step 5: Solve for x
    x = 4,033,268,979.09/54,905.80
  6. Step 6: Final answer
    x = 73,457.98

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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.