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Finding the Fourth Proportional to 200,633.59, 300,989.74 and 74,274.81

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Solution

The fourth proportional to 200,633.59, 300,989.74 and 74,274.81 is: 111,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,633.59 : 300,989.74 = 74,274.81 : x
  2. Step 2: Convert to fraction form
    200,633.59/300,989.74 = 74,274.81/x
  3. Step 3: Cross multiply
    200,633.59x = 300,989.74 × 74,274.81
  4. Step 4: Simplify right side
    200,633.59x = 22,355,955,750.45
  5. Step 5: Solve for x
    x = 22,355,955,750.45/200,633.59
  6. Step 6: Final answer
    x = 111,426.78

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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.