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Finding the Fourth Proportional to 122,642.10, 183,963.15 and 80,651.70

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Solution

The fourth proportional to 122,642.10, 183,963.15 and 80,651.70 is: 120,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,642.10 : 183,963.15 = 80,651.70 : x
  2. Step 2: Convert to fraction form
    122,642.10/183,963.15 = 80,651.70/x
  3. Step 3: Cross multiply
    122,642.10x = 183,963.15 × 80,651.70
  4. Step 4: Simplify right side
    122,642.10x = 14,836,940,784.86
  5. Step 5: Solve for x
    x = 14,836,940,784.86/122,642.10
  6. Step 6: Final answer
    x = 120,977.55

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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.