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Finding the Fourth Proportional to 207,855.90, 311,841.45 and 137,871.90

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Solution

The fourth proportional to 207,855.90, 311,841.45 and 137,871.90 is: 206,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,855.90 : 311,841.45 = 137,871.90 : x
  2. Step 2: Convert to fraction form
    207,855.90/311,841.45 = 137,871.90/x
  3. Step 3: Cross multiply
    207,855.90x = 311,841.45 × 137,871.90
  4. Step 4: Simplify right side
    207,855.90x = 42,994,173,210.26
  5. Step 5: Solve for x
    x = 42,994,173,210.26/207,855.90
  6. Step 6: Final answer
    x = 206,846.06

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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.