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Finding the Fourth Proportional to 218,639.54, 301,724.25 and 123,137.30

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Solution

The fourth proportional to 218,639.54, 301,724.25 and 123,137.30 is: 169,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,639.54 : 301,724.25 = 123,137.30 : x
  2. Step 2: Convert to fraction form
    218,639.54/301,724.25 = 123,137.30/x
  3. Step 3: Cross multiply
    218,639.54x = 301,724.25 × 123,137.30
  4. Step 4: Simplify right side
    218,639.54x = 37,153,509,489.53
  5. Step 5: Solve for x
    x = 37,153,509,489.53/218,639.54
  6. Step 6: Final answer
    x = 169,930.42

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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.