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Finding the Fourth Proportional to 82,820.20, 124,083.90 and 80,079.40

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Solution

The fourth proportional to 82,820.20, 124,083.90 and 80,079.40 is: 119,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,820.20 : 124,083.90 = 80,079.40 : x
  2. Step 2: Convert to fraction form
    82,820.20/124,083.90 = 80,079.40/x
  3. Step 3: Cross multiply
    82,820.20x = 124,083.90 × 80,079.40
  4. Step 4: Simplify right side
    82,820.20x = 9,936,564,261.66
  5. Step 5: Solve for x
    x = 9,936,564,261.66/82,820.20
  6. Step 6: Final answer
    x = 119,977.54

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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.