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Finding the Fourth Proportional to 202,136.30, 303,313.80 and 83,819.60

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Solution

The fourth proportional to 202,136.30, 303,313.80 and 83,819.60 is: 125,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136.30 : 303,313.80 = 83,819.60 : x
  2. Step 2: Convert to fraction form
    202,136.30/303,313.80 = 83,819.60/x
  3. Step 3: Cross multiply
    202,136.30x = 303,313.80 × 83,819.60
  4. Step 4: Simplify right side
    202,136.30x = 25,423,641,390.48
  5. Step 5: Solve for x
    x = 25,423,641,390.48/202,136.30
  6. Step 6: Final answer
    x = 125,774.74

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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.