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Finding the Fourth Proportional to 209,293.08, 313,906.14 and 90,932.64

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Solution

The fourth proportional to 209,293.08, 313,906.14 and 90,932.64 is: 136,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,293.08 : 313,906.14 = 90,932.64 : x
  2. Step 2: Convert to fraction form
    209,293.08/313,906.14 = 90,932.64/x
  3. Step 3: Cross multiply
    209,293.08x = 313,906.14 × 90,932.64
  4. Step 4: Simplify right side
    209,293.08x = 28,544,314,022.41
  5. Step 5: Solve for x
    x = 28,544,314,022.41/209,293.08
  6. Step 6: Final answer
    x = 136,384.41

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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.