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Finding the Fourth Proportional to 144,804.56, 199,829.70 and 81,142.34

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Solution

The fourth proportional to 144,804.56, 199,829.70 and 81,142.34 is: 111,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,804.56 : 199,829.70 = 81,142.34 : x
  2. Step 2: Convert to fraction form
    144,804.56/199,829.70 = 81,142.34/x
  3. Step 3: Cross multiply
    144,804.56x = 199,829.70 × 81,142.34
  4. Step 4: Simplify right side
    144,804.56x = 16,214,648,460.35
  5. Step 5: Solve for x
    x = 16,214,648,460.35/144,804.56
  6. Step 6: Final answer
    x = 111,976.09

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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.