Home / 213,828.16-320,647.44-113,969.80

Finding the Fourth Proportional to 213,828.16, 320,647.44 and 113,969.80

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Solution

The fourth proportional to 213,828.16, 320,647.44 and 113,969.80 is: 170,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,828.16 : 320,647.44 = 113,969.80 : x
  2. Step 2: Convert to fraction form
    213,828.16/320,647.44 = 113,969.80/x
  3. Step 3: Cross multiply
    213,828.16x = 320,647.44 × 113,969.80
  4. Step 4: Simplify right side
    213,828.16x = 36,544,124,607.31
  5. Step 5: Solve for x
    x = 36,544,124,607.31/213,828.16
  6. Step 6: Final answer
    x = 170,904.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.