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Finding the Fourth Proportional to 207,959.40, 311,996.70 and 137,975.40

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Solution

The fourth proportional to 207,959.40, 311,996.70 and 137,975.40 is: 207,001.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,959.40 : 311,996.70 = 137,975.40 : x
  2. Step 2: Convert to fraction form
    207,959.40/311,996.70 = 137,975.40/x
  3. Step 3: Cross multiply
    207,959.40x = 311,996.70 × 137,975.40
  4. Step 4: Simplify right side
    207,959.40x = 43,047,869,481.18
  5. Step 5: Solve for x
    x = 43,047,869,481.18/207,959.40
  6. Step 6: Final answer
    x = 207,001.32

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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.