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Finding the Fourth Proportional to 144,678.94, 199,656.90 and 80,152.37

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Solution

The fourth proportional to 144,678.94, 199,656.90 and 80,152.37 is: 110,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,678.94 : 199,656.90 = 80,152.37 : x
  2. Step 2: Convert to fraction form
    144,678.94/199,656.90 = 80,152.37/x
  3. Step 3: Cross multiply
    144,678.94x = 199,656.90 × 80,152.37
  4. Step 4: Simplify right side
    144,678.94x = 16,002,972,923.95
  5. Step 5: Solve for x
    x = 16,002,972,923.95/144,678.94
  6. Step 6: Final answer
    x = 110,610.25

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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.