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Finding the Fourth Proportional to 209,944.47, 314,978.28 and 67,786.65

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Solution

The fourth proportional to 209,944.47, 314,978.28 and 67,786.65 is: 101,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,944.47 : 314,978.28 = 67,786.65 : x
  2. Step 2: Convert to fraction form
    209,944.47/314,978.28 = 67,786.65/x
  3. Step 3: Cross multiply
    209,944.47x = 314,978.28 × 67,786.65
  4. Step 4: Simplify right side
    209,944.47x = 21,351,322,423.96
  5. Step 5: Solve for x
    x = 21,351,322,423.96/209,944.47
  6. Step 6: Final answer
    x = 101,699.86

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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.