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Finding the Fourth Proportional to 218,922.94, 302,107.62 and 123,428.80

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Solution

The fourth proportional to 218,922.94, 302,107.62 and 123,428.80 is: 170,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,922.94 : 302,107.62 = 123,428.80 : x
  2. Step 2: Convert to fraction form
    218,922.94/302,107.62 = 123,428.80/x
  3. Step 3: Cross multiply
    218,922.94x = 302,107.62 × 123,428.80
  4. Step 4: Simplify right side
    218,922.94x = 37,288,781,007.46
  5. Step 5: Solve for x
    x = 37,288,781,007.46/218,922.94
  6. Step 6: Final answer
    x = 170,328.34

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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.