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Finding the Fourth Proportional to 179,929, 269,893.50 and 55,270

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Solution

The fourth proportional to 179,929, 269,893.50 and 55,270 is: 82,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,929 : 269,893.50 = 55,270 : x
  2. Step 2: Convert to fraction form
    179,929/269,893.50 = 55,270/x
  3. Step 3: Cross multiply
    179,929x = 269,893.50 × 55,270
  4. Step 4: Simplify right side
    179,929x = 14,917,013,745
  5. Step 5: Solve for x
    x = 14,917,013,745/179,929
  6. Step 6: Final answer
    x = 82,905

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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.