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Finding the Fourth Proportional to 205,136.40, 307,877.40 and 80,566.80

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Solution

The fourth proportional to 205,136.40, 307,877.40 and 80,566.80 is: 120,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,136.40 : 307,877.40 = 80,566.80 : x
  2. Step 2: Convert to fraction form
    205,136.40/307,877.40 = 80,566.80/x
  3. Step 3: Cross multiply
    205,136.40x = 307,877.40 × 80,566.80
  4. Step 4: Simplify right side
    205,136.40x = 24,804,696,910.32
  5. Step 5: Solve for x
    x = 24,804,696,910.32/205,136.40
  6. Step 6: Final answer
    x = 120,918.07

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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.