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Finding the Fourth Proportional to 279,986.60, 419,870.70 and 122,107.40

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Solution

The fourth proportional to 279,986.60, 419,870.70 and 122,107.40 is: 183,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,986.60 : 419,870.70 = 122,107.40 : x
  2. Step 2: Convert to fraction form
    279,986.60/419,870.70 = 122,107.40/x
  3. Step 3: Cross multiply
    279,986.60x = 419,870.70 × 122,107.40
  4. Step 4: Simplify right side
    279,986.60x = 51,269,319,513.18
  5. Step 5: Solve for x
    x = 51,269,319,513.18/279,986.60
  6. Step 6: Final answer
    x = 183,113.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.