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Finding the Fourth Proportional to 202,439.80, 303,659.70 and 109,127.80

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Solution

The fourth proportional to 202,439.80, 303,659.70 and 109,127.80 is: 163,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,439.80 : 303,659.70 = 109,127.80 : x
  2. Step 2: Convert to fraction form
    202,439.80/303,659.70 = 109,127.80/x
  3. Step 3: Cross multiply
    202,439.80x = 303,659.70 × 109,127.80
  4. Step 4: Simplify right side
    202,439.80x = 33,137,715,009.66
  5. Step 5: Solve for x
    x = 33,137,715,009.66/202,439.80
  6. Step 6: Final answer
    x = 163,691.70

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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.