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Finding the Fourth Proportional to 144,809.10, 199,825.65 and 81,134.60

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Solution

The fourth proportional to 144,809.10, 199,825.65 and 81,134.60 is: 111,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,809.10 : 199,825.65 = 81,134.60 : x
  2. Step 2: Convert to fraction form
    144,809.10/199,825.65 = 81,134.60/x
  3. Step 3: Cross multiply
    144,809.10x = 199,825.65 × 81,134.60
  4. Step 4: Simplify right side
    144,809.10x = 16,212,773,183.36
  5. Step 5: Solve for x
    x = 16,212,773,183.36/144,809.10
  6. Step 6: Final answer
    x = 111,959.63

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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.