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Finding the Fourth Proportional to 144,871.44, 199,918.80 and 81,213.36

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Solution

The fourth proportional to 144,871.44, 199,918.80 and 81,213.36 is: 112,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,871.44 : 199,918.80 = 81,213.36 : x
  2. Step 2: Convert to fraction form
    144,871.44/199,918.80 = 81,213.36/x
  3. Step 3: Cross multiply
    144,871.44x = 199,918.80 × 81,213.36
  4. Step 4: Simplify right side
    144,871.44x = 16,236,077,475.17
  5. Step 5: Solve for x
    x = 16,236,077,475.17/144,871.44
  6. Step 6: Final answer
    x = 112,072.31

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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.