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Finding the Fourth Proportional to 213,084.60, 294,046.72 and 122,376.60

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Solution

The fourth proportional to 213,084.60, 294,046.72 and 122,376.60 is: 168,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,084.60 : 294,046.72 = 122,376.60 : x
  2. Step 2: Convert to fraction form
    213,084.60/294,046.72 = 122,376.60/x
  3. Step 3: Cross multiply
    213,084.60x = 294,046.72 × 122,376.60
  4. Step 4: Simplify right side
    213,084.60x = 35,984,437,834.75
  5. Step 5: Solve for x
    x = 35,984,437,834.75/213,084.60
  6. Step 6: Final answer
    x = 168,873.95

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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.