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Finding the Fourth Proportional to 207,924.80, 311,995.20 and 97,116.80

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Solution

The fourth proportional to 207,924.80, 311,995.20 and 97,116.80 is: 145,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,924.80 : 311,995.20 = 97,116.80 : x
  2. Step 2: Convert to fraction form
    207,924.80/311,995.20 = 97,116.80/x
  3. Step 3: Cross multiply
    207,924.80x = 311,995.20 × 97,116.80
  4. Step 4: Simplify right side
    207,924.80x = 30,299,975,439.36
  5. Step 5: Solve for x
    x = 30,299,975,439.36/207,924.80
  6. Step 6: Final answer
    x = 145,725.64

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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.