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Finding the Fourth Proportional to 225,715.76, 311,485.76 and 123,739.37

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Solution

The fourth proportional to 225,715.76, 311,485.76 and 123,739.37 is: 170,759.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,715.76 : 311,485.76 = 123,739.37 : x
  2. Step 2: Convert to fraction form
    225,715.76/311,485.76 = 123,739.37/x
  3. Step 3: Cross multiply
    225,715.76x = 311,485.76 × 123,739.37
  4. Step 4: Simplify right side
    225,715.76x = 38,543,050,383.63
  5. Step 5: Solve for x
    x = 38,543,050,383.63/225,715.76
  6. Step 6: Final answer
    x = 170,759.23

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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.