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Finding the Fourth Proportional to 209,940.52, 314,878.32 and 76,789.64

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Solution

The fourth proportional to 209,940.52, 314,878.32 and 76,789.64 is: 115,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,940.52 : 314,878.32 = 76,789.64 : x
  2. Step 2: Convert to fraction form
    209,940.52/314,878.32 = 76,789.64/x
  3. Step 3: Cross multiply
    209,940.52x = 314,878.32 × 76,789.64
  4. Step 4: Simplify right side
    209,940.52x = 24,179,392,836.60
  5. Step 5: Solve for x
    x = 24,179,392,836.60/209,940.52
  6. Step 6: Final answer
    x = 115,172.59

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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.