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Finding the Fourth Proportional to 127,706.90, 176,217.12 and 73,982.03

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Solution

The fourth proportional to 127,706.90, 176,217.12 and 73,982.03 is: 102,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706.90 : 176,217.12 = 73,982.03 : x
  2. Step 2: Convert to fraction form
    127,706.90/176,217.12 = 73,982.03/x
  3. Step 3: Cross multiply
    127,706.90x = 176,217.12 × 73,982.03
  4. Step 4: Simplify right side
    127,706.90x = 13,036,899,377.27
  5. Step 5: Solve for x
    x = 13,036,899,377.27/127,706.90
  6. Step 6: Final answer
    x = 102,084.54

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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.