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Finding the Fourth Proportional to 144,878.74, 199,933.16 and 81,212.44

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Solution

The fourth proportional to 144,878.74, 199,933.16 and 81,212.44 is: 112,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,878.74 : 199,933.16 = 81,212.44 : x
  2. Step 2: Convert to fraction form
    144,878.74/199,933.16 = 81,212.44/x
  3. Step 3: Cross multiply
    144,878.74x = 199,933.16 × 81,212.44
  4. Step 4: Simplify right side
    144,878.74x = 16,237,059,760.51
  5. Step 5: Solve for x
    x = 16,237,059,760.51/144,878.74
  6. Step 6: Final answer
    x = 112,073.45

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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.