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Finding the Fourth Proportional to 219,289.88, 302,619.98 and 123,796.56

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Solution

The fourth proportional to 219,289.88, 302,619.98 and 123,796.56 is: 170,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,289.88 : 302,619.98 = 123,796.56 : x
  2. Step 2: Convert to fraction form
    219,289.88/302,619.98 = 123,796.56/x
  3. Step 3: Cross multiply
    219,289.88x = 302,619.98 × 123,796.56
  4. Step 4: Simplify right side
    219,289.88x = 37,463,311,892.29
  5. Step 5: Solve for x
    x = 37,463,311,892.29/219,289.88
  6. Step 6: Final answer
    x = 170,839.22

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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.