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Finding the Fourth Proportional to 279,695.70, 419,291.64 and 102,078.09

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Solution

The fourth proportional to 279,695.70, 419,291.64 and 102,078.09 is: 153,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,695.70 : 419,291.64 = 102,078.09 : x
  2. Step 2: Convert to fraction form
    279,695.70/419,291.64 = 102,078.09/x
  3. Step 3: Cross multiply
    279,695.70x = 419,291.64 × 102,078.09
  4. Step 4: Simplify right side
    279,695.70x = 42,800,489,764.17
  5. Step 5: Solve for x
    x = 42,800,489,764.17/279,695.70
  6. Step 6: Final answer
    x = 153,025.20

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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.