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Finding the Fourth Proportional to 225,485.76, 311,158.32 and 123,505.95

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Solution

The fourth proportional to 225,485.76, 311,158.32 and 123,505.95 is: 170,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,485.76 : 311,158.32 = 123,505.95 : x
  2. Step 2: Convert to fraction form
    225,485.76/311,158.32 = 123,505.95/x
  3. Step 3: Cross multiply
    225,485.76x = 311,158.32 × 123,505.95
  4. Step 4: Simplify right side
    225,485.76x = 38,429,903,912.00
  5. Step 5: Solve for x
    x = 38,429,903,912.00/225,485.76
  6. Step 6: Final answer
    x = 170,431.62

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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.