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Finding the Fourth Proportional to 279,684.90, 419,273.01 and 102,068.10

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Solution

The fourth proportional to 279,684.90, 419,273.01 and 102,068.10 is: 153,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,684.90 : 419,273.01 = 102,068.10 : x
  2. Step 2: Convert to fraction form
    279,684.90/419,273.01 = 102,068.10/x
  3. Step 3: Cross multiply
    279,684.90x = 419,273.01 × 102,068.10
  4. Step 4: Simplify right side
    279,684.90x = 42,794,399,511.98
  5. Step 5: Solve for x
    x = 42,794,399,511.98/279,684.90
  6. Step 6: Final answer
    x = 153,009.33

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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.