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Finding the Fourth Proportional to 209,314.64, 313,979.16 and 82,978.76

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Solution

The fourth proportional to 209,314.64, 313,979.16 and 82,978.76 is: 124,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,314.64 : 313,979.16 = 82,978.76 : x
  2. Step 2: Convert to fraction form
    209,314.64/313,979.16 = 82,978.76/x
  3. Step 3: Cross multiply
    209,314.64x = 313,979.16 × 82,978.76
  4. Step 4: Simplify right side
    209,314.64x = 26,053,601,362.64
  5. Step 5: Solve for x
    x = 26,053,601,362.64/209,314.64
  6. Step 6: Final answer
    x = 124,470.99

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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.