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Finding the Fourth Proportional to 202,843.12, 304,359.52 and 90,511.52

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Solution

The fourth proportional to 202,843.12, 304,359.52 and 90,511.52 is: 135,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843.12 : 304,359.52 = 90,511.52 : x
  2. Step 2: Convert to fraction form
    202,843.12/304,359.52 = 90,511.52/x
  3. Step 3: Cross multiply
    202,843.12x = 304,359.52 × 90,511.52
  4. Step 4: Simplify right side
    202,843.12x = 27,548,042,781.67
  5. Step 5: Solve for x
    x = 27,548,042,781.67/202,843.12
  6. Step 6: Final answer
    x = 135,809.60

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1.5x scale

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.