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Finding the Fourth Proportional to 85,300.80, 127,951.20 and 82,996.80

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Solution

The fourth proportional to 85,300.80, 127,951.20 and 82,996.80 is: 124,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,300.80 : 127,951.20 = 82,996.80 : x
  2. Step 2: Convert to fraction form
    85,300.80/127,951.20 = 82,996.80/x
  3. Step 3: Cross multiply
    85,300.80x = 127,951.20 × 82,996.80
  4. Step 4: Simplify right side
    85,300.80x = 10,619,540,156.16
  5. Step 5: Solve for x
    x = 10,619,540,156.16/85,300.80
  6. Step 6: Final answer
    x = 124,495.20

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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.