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Finding the Fourth Proportional to 279,188.98, 418,921.85 and 110,705.69

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Solution

The fourth proportional to 279,188.98, 418,921.85 and 110,705.69 is: 166,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,188.98 : 418,921.85 = 110,705.69 : x
  2. Step 2: Convert to fraction form
    279,188.98/418,921.85 = 110,705.69/x
  3. Step 3: Cross multiply
    279,188.98x = 418,921.85 × 110,705.69
  4. Step 4: Simplify right side
    279,188.98x = 46,377,033,784.40
  5. Step 5: Solve for x
    x = 46,377,033,784.40/279,188.98
  6. Step 6: Final answer
    x = 166,113.41

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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.