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Finding the Fourth Proportional to 207,643.80, 311,811.30 and 114,216.60

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Solution

The fourth proportional to 207,643.80, 311,811.30 and 114,216.60 is: 171,515.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,643.80 : 311,811.30 = 114,216.60 : x
  2. Step 2: Convert to fraction form
    207,643.80/311,811.30 = 114,216.60/x
  3. Step 3: Cross multiply
    207,643.80x = 311,811.30 × 114,216.60
  4. Step 4: Simplify right side
    207,643.80x = 35,614,026,527.58
  5. Step 5: Solve for x
    x = 35,614,026,527.58/207,643.80
  6. Step 6: Final answer
    x = 171,515.00

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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.