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Finding the Fourth Proportional to 205,919.60, 308,490.60 and 105,738.80

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Solution

The fourth proportional to 205,919.60, 308,490.60 and 105,738.80 is: 158,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.60 : 308,490.60 = 105,738.80 : x
  2. Step 2: Convert to fraction form
    205,919.60/308,490.60 = 105,738.80/x
  3. Step 3: Cross multiply
    205,919.60x = 308,490.60 × 105,738.80
  4. Step 4: Simplify right side
    205,919.60x = 32,619,425,855.28
  5. Step 5: Solve for x
    x = 32,619,425,855.28/205,919.60
  6. Step 6: Final answer
    x = 158,408.55

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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.