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Finding the Fourth Proportional to 209,579.67, 314,408.39 and 69,339.51

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Solution

The fourth proportional to 209,579.67, 314,408.39 and 69,339.51 is: 104,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,579.67 : 314,408.39 = 69,339.51 : x
  2. Step 2: Convert to fraction form
    209,579.67/314,408.39 = 69,339.51/x
  3. Step 3: Cross multiply
    209,579.67x = 314,408.39 × 69,339.51
  4. Step 4: Simplify right side
    209,579.67x = 21,800,923,355.79
  5. Step 5: Solve for x
    x = 21,800,923,355.79/209,579.67
  6. Step 6: Final answer
    x = 104,022.13

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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.