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Finding the Fourth Proportional to 205,447.20, 308,170.80 and 65,216.80

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Solution

The fourth proportional to 205,447.20, 308,170.80 and 65,216.80 is: 97,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,447.20 : 308,170.80 = 65,216.80 : x
  2. Step 2: Convert to fraction form
    205,447.20/308,170.80 = 65,216.80/x
  3. Step 3: Cross multiply
    205,447.20x = 308,170.80 × 65,216.80
  4. Step 4: Simplify right side
    205,447.20x = 20,097,913,429.44
  5. Step 5: Solve for x
    x = 20,097,913,429.44/205,447.20
  6. Step 6: Final answer
    x = 97,825.20

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1.5x scale

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.