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Finding the Fourth Proportional to 202,298.68, 303,583.28 and 83,970

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Solution

The fourth proportional to 202,298.68, 303,583.28 and 83,970 is: 126,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.68 : 303,583.28 = 83,970 : x
  2. Step 2: Convert to fraction form
    202,298.68/303,583.28 = 83,970/x
  3. Step 3: Cross multiply
    202,298.68x = 303,583.28 × 83,970
  4. Step 4: Simplify right side
    202,298.68x = 25,491,888,021.60
  5. Step 5: Solve for x
    x = 25,491,888,021.60/202,298.68
  6. Step 6: Final answer
    x = 126,011.14

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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.