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Finding the Fourth Proportional to 144,183.64, 198,973.02 and 80,521.48

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Solution

The fourth proportional to 144,183.64, 198,973.02 and 80,521.48 is: 111,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,183.64 : 198,973.02 = 80,521.48 : x
  2. Step 2: Convert to fraction form
    144,183.64/198,973.02 = 80,521.48/x
  3. Step 3: Cross multiply
    144,183.64x = 198,973.02 × 80,521.48
  4. Step 4: Simplify right side
    144,183.64x = 16,021,602,050.47
  5. Step 5: Solve for x
    x = 16,021,602,050.47/144,183.64
  6. Step 6: Final answer
    x = 111,119.42

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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.