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Finding the Fourth Proportional to 207,855.40, 311,840.70 and 137,871.40

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Solution

The fourth proportional to 207,855.40, 311,840.70 and 137,871.40 is: 206,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,855.40 : 311,840.70 = 137,871.40 : x
  2. Step 2: Convert to fraction form
    207,855.40/311,840.70 = 137,871.40/x
  3. Step 3: Cross multiply
    207,855.40x = 311,840.70 × 137,871.40
  4. Step 4: Simplify right side
    207,855.40x = 42,993,913,885.98
  5. Step 5: Solve for x
    x = 42,993,913,885.98/207,855.40
  6. Step 6: Final answer
    x = 206,845.31

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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.