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Finding the Fourth Proportional to 200,867.94, 301,192.56 and 129,780.72

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Solution

The fourth proportional to 200,867.94, 301,192.56 and 129,780.72 is: 194,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,867.94 : 301,192.56 = 129,780.72 : x
  2. Step 2: Convert to fraction form
    200,867.94/301,192.56 = 129,780.72/x
  3. Step 3: Cross multiply
    200,867.94x = 301,192.56 × 129,780.72
  4. Step 4: Simplify right side
    200,867.94x = 39,088,987,295.44
  5. Step 5: Solve for x
    x = 39,088,987,295.44/200,867.94
  6. Step 6: Final answer
    x = 194,600.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.