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Finding the Fourth Proportional to 203,175.30, 304,653.60 and 84,712.80

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Solution

The fourth proportional to 203,175.30, 304,653.60 and 84,712.80 is: 127,023.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,175.30 : 304,653.60 = 84,712.80 : x
  2. Step 2: Convert to fraction form
    203,175.30/304,653.60 = 84,712.80/x
  3. Step 3: Cross multiply
    203,175.30x = 304,653.60 × 84,712.80
  4. Step 4: Simplify right side
    203,175.30x = 25,808,059,486.08
  5. Step 5: Solve for x
    x = 25,808,059,486.08/203,175.30
  6. Step 6: Final answer
    x = 127,023.61

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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.