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Finding the Fourth Proportional to 202,612.64, 303,953.52 and 90,333.60

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Solution

The fourth proportional to 202,612.64, 303,953.52 and 90,333.60 is: 135,515.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,612.64 : 303,953.52 = 90,333.60 : x
  2. Step 2: Convert to fraction form
    202,612.64/303,953.52 = 90,333.60/x
  3. Step 3: Cross multiply
    202,612.64x = 303,953.52 × 90,333.60
  4. Step 4: Simplify right side
    202,612.64x = 27,457,215,694.27
  5. Step 5: Solve for x
    x = 27,457,215,694.27/202,612.64
  6. Step 6: Final answer
    x = 135,515.81

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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.