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Finding the Fourth Proportional to 279,638.92, 419,399.65 and 90,116.34

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Solution

The fourth proportional to 279,638.92, 419,399.65 and 90,116.34 is: 135,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,638.92 : 419,399.65 = 90,116.34 : x
  2. Step 2: Convert to fraction form
    279,638.92/419,399.65 = 90,116.34/x
  3. Step 3: Cross multiply
    279,638.92x = 419,399.65 × 90,116.34
  4. Step 4: Simplify right side
    279,638.92x = 37,794,761,455.28
  5. Step 5: Solve for x
    x = 37,794,761,455.28/279,638.92
  6. Step 6: Final answer
    x = 135,155.58

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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.