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Finding the Fourth Proportional to 226,036, 311,939.40 and 125,434

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Solution

The fourth proportional to 226,036, 311,939.40 and 125,434 is: 173,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,036 : 311,939.40 = 125,434 : x
  2. Step 2: Convert to fraction form
    226,036/311,939.40 = 125,434/x
  3. Step 3: Cross multiply
    226,036x = 311,939.40 × 125,434
  4. Step 4: Simplify right side
    226,036x = 39,127,806,699.60
  5. Step 5: Solve for x
    x = 39,127,806,699.60/226,036
  6. Step 6: Final answer
    x = 173,104.31

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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.