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Finding the Fourth Proportional to 144,856.82, 199,911.65 and 81,194.63

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Solution

The fourth proportional to 144,856.82, 199,911.65 and 81,194.63 is: 112,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,856.82 : 199,911.65 = 81,194.63 : x
  2. Step 2: Convert to fraction form
    144,856.82/199,911.65 = 81,194.63/x
  3. Step 3: Cross multiply
    144,856.82x = 199,911.65 × 81,194.63
  4. Step 4: Simplify right side
    144,856.82x = 16,231,751,048.91
  5. Step 5: Solve for x
    x = 16,231,751,048.91/144,856.82
  6. Step 6: Final answer
    x = 112,053.76

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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.