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Finding the Fourth Proportional to 144,277.40, 199,103.42 and 78,867.54

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Solution

The fourth proportional to 144,277.40, 199,103.42 and 78,867.54 is: 108,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,277.40 : 199,103.42 = 78,867.54 : x
  2. Step 2: Convert to fraction form
    144,277.40/199,103.42 = 78,867.54/x
  3. Step 3: Cross multiply
    144,277.40x = 199,103.42 × 78,867.54
  4. Step 4: Simplify right side
    144,277.40x = 15,702,796,940.99
  5. Step 5: Solve for x
    x = 15,702,796,940.99/144,277.40
  6. Step 6: Final answer
    x = 108,837.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.