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Finding the Fourth Proportional to 209,458.63, 314,236.54 and 69,208.75

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Solution

The fourth proportional to 209,458.63, 314,236.54 and 69,208.75 is: 103,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,458.63 : 314,236.54 = 69,208.75 : x
  2. Step 2: Convert to fraction form
    209,458.63/314,236.54 = 69,208.75/x
  3. Step 3: Cross multiply
    209,458.63x = 314,236.54 × 69,208.75
  4. Step 4: Simplify right side
    209,458.63x = 21,747,918,137.73
  5. Step 5: Solve for x
    x = 21,747,918,137.73/209,458.63
  6. Step 6: Final answer
    x = 103,829.18

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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.