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Finding the Fourth Proportional to 82,051.20, 123,076.80 and 68,929.20

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Solution

The fourth proportional to 82,051.20, 123,076.80 and 68,929.20 is: 103,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.20 : 123,076.80 = 68,929.20 : x
  2. Step 2: Convert to fraction form
    82,051.20/123,076.80 = 68,929.20/x
  3. Step 3: Cross multiply
    82,051.20x = 123,076.80 × 68,929.20
  4. Step 4: Simplify right side
    82,051.20x = 8,483,585,362.56
  5. Step 5: Solve for x
    x = 8,483,585,362.56/82,051.20
  6. Step 6: Final answer
    x = 103,393.80

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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.