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Finding the Fourth Proportional to 209,435.63, 314,182.65 and 67,285.22

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Solution

The fourth proportional to 209,435.63, 314,182.65 and 67,285.22 is: 100,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.63 : 314,182.65 = 67,285.22 : x
  2. Step 2: Convert to fraction form
    209,435.63/314,182.65 = 67,285.22/x
  3. Step 3: Cross multiply
    209,435.63x = 314,182.65 × 67,285.22
  4. Step 4: Simplify right side
    209,435.63x = 21,139,848,725.43
  5. Step 5: Solve for x
    x = 21,139,848,725.43/209,435.63
  6. Step 6: Final answer
    x = 100,937.21

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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.