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Finding the Fourth Proportional to 209,155.63, 313,782.65 and 68,914.25

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Solution

The fourth proportional to 209,155.63, 313,782.65 and 68,914.25 is: 103,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,155.63 : 313,782.65 = 68,914.25 : x
  2. Step 2: Convert to fraction form
    209,155.63/313,782.65 = 68,914.25/x
  3. Step 3: Cross multiply
    209,155.63x = 313,782.65 × 68,914.25
  4. Step 4: Simplify right side
    209,155.63x = 21,624,095,987.76
  5. Step 5: Solve for x
    x = 21,624,095,987.76/209,155.63
  6. Step 6: Final answer
    x = 103,387.59

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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.