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Finding the Fourth Proportional to 202,275.63, 303,336.90 and 67,315.86

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Solution

The fourth proportional to 202,275.63, 303,336.90 and 67,315.86 is: 100,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,275.63 : 303,336.90 = 67,315.86 : x
  2. Step 2: Convert to fraction form
    202,275.63/303,336.90 = 67,315.86/x
  3. Step 3: Cross multiply
    202,275.63x = 303,336.90 × 67,315.86
  4. Step 4: Simplify right side
    202,275.63x = 20,419,384,293.23
  5. Step 5: Solve for x
    x = 20,419,384,293.23/202,275.63
  6. Step 6: Final answer
    x = 100,948.32

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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.