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Finding the Fourth Proportional to 229,504, 316,745.22 and 128,902

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Solution

The fourth proportional to 229,504, 316,745.22 and 128,902 is: 177,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,504 : 316,745.22 = 128,902 : x
  2. Step 2: Convert to fraction form
    229,504/316,745.22 = 128,902/x
  3. Step 3: Cross multiply
    229,504x = 316,745.22 × 128,902
  4. Step 4: Simplify right side
    229,504x = 40,829,092,348.44
  5. Step 5: Solve for x
    x = 40,829,092,348.44/229,504
  6. Step 6: Final answer
    x = 177,901.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.