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Finding the Fourth Proportional to 209,460.80, 313,845.60 and 104,052.80

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Solution

The fourth proportional to 209,460.80, 313,845.60 and 104,052.80 is: 155,907.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,460.80 : 313,845.60 = 104,052.80 : x
  2. Step 2: Convert to fraction form
    209,460.80/313,845.60 = 104,052.80/x
  3. Step 3: Cross multiply
    209,460.80x = 313,845.60 × 104,052.80
  4. Step 4: Simplify right side
    209,460.80x = 32,656,513,447.68
  5. Step 5: Solve for x
    x = 32,656,513,447.68/209,460.80
  6. Step 6: Final answer
    x = 155,907.52

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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.