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Finding the Fourth Proportional to 225,405.81, 311,059.31 and 124,803.81

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Solution

The fourth proportional to 225,405.81, 311,059.31 and 124,803.81 is: 172,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,405.81 : 311,059.31 = 124,803.81 : x
  2. Step 2: Convert to fraction form
    225,405.81/311,059.31 = 124,803.81/x
  3. Step 3: Cross multiply
    225,405.81x = 311,059.31 × 124,803.81
  4. Step 4: Simplify right side
    225,405.81x = 38,821,386,399.95
  5. Step 5: Solve for x
    x = 38,821,386,399.95/225,405.81
  6. Step 6: Final answer
    x = 172,228.86

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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.