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Finding the Fourth Proportional to 202,426.43, 303,824.79 and 102,655.49

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Solution

The fourth proportional to 202,426.43, 303,824.79 and 102,655.49 is: 154,077.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,426.43 : 303,824.79 = 102,655.49 : x
  2. Step 2: Convert to fraction form
    202,426.43/303,824.79 = 102,655.49/x
  3. Step 3: Cross multiply
    202,426.43x = 303,824.79 × 102,655.49
  4. Step 4: Simplify right side
    202,426.43x = 31,189,281,172.47
  5. Step 5: Solve for x
    x = 31,189,281,172.47/202,426.43
  6. Step 6: Final answer
    x = 154,077.12

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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.