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Finding the Fourth Proportional to 145,553.25, 200,863.13 and 81,891.03

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Solution

The fourth proportional to 145,553.25, 200,863.13 and 81,891.03 is: 113,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,553.25 : 200,863.13 = 81,891.03 : x
  2. Step 2: Convert to fraction form
    145,553.25/200,863.13 = 81,891.03/x
  3. Step 3: Cross multiply
    145,553.25x = 200,863.13 × 81,891.03
  4. Step 4: Simplify right side
    145,553.25x = 16,448,888,948.51
  5. Step 5: Solve for x
    x = 16,448,888,948.51/145,553.25
  6. Step 6: Final answer
    x = 113,009.42

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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.