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Finding the Fourth Proportional to 225,619.65, 311,272.74 and 134,978.22

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Solution

The fourth proportional to 225,619.65, 311,272.74 and 134,978.22 is: 186,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,619.65 : 311,272.74 = 134,978.22 : x
  2. Step 2: Convert to fraction form
    225,619.65/311,272.74 = 134,978.22/x
  3. Step 3: Cross multiply
    225,619.65x = 311,272.74 × 134,978.22
  4. Step 4: Simplify right side
    225,619.65x = 42,015,040,379.72
  5. Step 5: Solve for x
    x = 42,015,040,379.72/225,619.65
  6. Step 6: Final answer
    x = 186,220.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.