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Finding the Fourth Proportional to 200,773.20, 300,814.20 and 105,862.80

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Solution

The fourth proportional to 200,773.20, 300,814.20 and 105,862.80 is: 158,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,773.20 : 300,814.20 = 105,862.80 : x
  2. Step 2: Convert to fraction form
    200,773.20/300,814.20 = 105,862.80/x
  3. Step 3: Cross multiply
    200,773.20x = 300,814.20 × 105,862.80
  4. Step 4: Simplify right side
    200,773.20x = 31,845,033,491.76
  5. Step 5: Solve for x
    x = 31,845,033,491.76/200,773.20
  6. Step 6: Final answer
    x = 158,611.97

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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.