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Finding the Fourth Proportional to 218,613, 301,634.10 and 123,100.68

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Solution

The fourth proportional to 218,613, 301,634.10 and 123,100.68 is: 169,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,613 : 301,634.10 = 123,100.68 : x
  2. Step 2: Convert to fraction form
    218,613/301,634.10 = 123,100.68/x
  3. Step 3: Cross multiply
    218,613x = 301,634.10 × 123,100.68
  4. Step 4: Simplify right side
    218,613x = 37,131,362,821.19
  5. Step 5: Solve for x
    x = 37,131,362,821.19/218,613
  6. Step 6: Final answer
    x = 169,849.75

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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.