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Finding the Fourth Proportional to 78,067.98, 117,102.15 and 18,903.42

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Solution

The fourth proportional to 78,067.98, 117,102.15 and 18,903.42 is: 28,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.98 : 117,102.15 = 18,903.42 : x
  2. Step 2: Convert to fraction form
    78,067.98/117,102.15 = 18,903.42/x
  3. Step 3: Cross multiply
    78,067.98x = 117,102.15 × 18,903.42
  4. Step 4: Simplify right side
    78,067.98x = 2,213,631,124.35
  5. Step 5: Solve for x
    x = 2,213,631,124.35/78,067.98
  6. Step 6: Final answer
    x = 28,355.17

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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.