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Finding the Fourth Proportional to 202,309.90, 303,136.80 and 127,295.80

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Solution

The fourth proportional to 202,309.90, 303,136.80 and 127,295.80 is: 190,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.90 : 303,136.80 = 127,295.80 : x
  2. Step 2: Convert to fraction form
    202,309.90/303,136.80 = 127,295.80/x
  3. Step 3: Cross multiply
    202,309.90x = 303,136.80 × 127,295.80
  4. Step 4: Simplify right side
    202,309.90x = 38,588,041,465.44
  5. Step 5: Solve for x
    x = 38,588,041,465.44/202,309.90
  6. Step 6: Final answer
    x = 190,737.29

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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.