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Finding the Fourth Proportional to 144,690.86, 199,674.77 and 80,161.46

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Solution

The fourth proportional to 144,690.86, 199,674.77 and 80,161.46 is: 110,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,690.86 : 199,674.77 = 80,161.46 : x
  2. Step 2: Convert to fraction form
    144,690.86/199,674.77 = 80,161.46/x
  3. Step 3: Cross multiply
    144,690.86x = 199,674.77 × 80,161.46
  4. Step 4: Simplify right side
    144,690.86x = 16,006,221,186.74
  5. Step 5: Solve for x
    x = 16,006,221,186.74/144,690.86
  6. Step 6: Final answer
    x = 110,623.59

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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.