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Finding the Fourth Proportional to 54,940.96, 75,815.04 and 31,068.64

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Solution

The fourth proportional to 54,940.96, 75,815.04 and 31,068.64 is: 42,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940.96 : 75,815.04 = 31,068.64 : x
  2. Step 2: Convert to fraction form
    54,940.96/75,815.04 = 31,068.64/x
  3. Step 3: Cross multiply
    54,940.96x = 75,815.04 × 31,068.64
  4. Step 4: Simplify right side
    54,940.96x = 2,355,470,184.35
  5. Step 5: Solve for x
    x = 2,355,470,184.35/54,940.96
  6. Step 6: Final answer
    x = 42,872.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.