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Finding the Fourth Proportional to 207,860.65, 311,010.94 and 123,311.23

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Solution

The fourth proportional to 207,860.65, 311,010.94 and 123,311.23 is: 184,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,860.65 : 311,010.94 = 123,311.23 : x
  2. Step 2: Convert to fraction form
    207,860.65/311,010.94 = 123,311.23/x
  3. Step 3: Cross multiply
    207,860.65x = 311,010.94 × 123,311.23
  4. Step 4: Simplify right side
    207,860.65x = 38,351,141,554.86
  5. Step 5: Solve for x
    x = 38,351,141,554.86/207,860.65
  6. Step 6: Final answer
    x = 184,504.10

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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.