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Finding the Fourth Proportional to 145,067.89, 200,193.80 and 81,405.68

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Solution

The fourth proportional to 145,067.89, 200,193.80 and 81,405.68 is: 112,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,067.89 : 200,193.80 = 81,405.68 : x
  2. Step 2: Convert to fraction form
    145,067.89/200,193.80 = 81,405.68/x
  3. Step 3: Cross multiply
    145,067.89x = 200,193.80 × 81,405.68
  4. Step 4: Simplify right side
    145,067.89x = 16,296,913,388.78
  5. Step 5: Solve for x
    x = 16,296,913,388.78/145,067.89
  6. Step 6: Final answer
    x = 112,339.91

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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.