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Finding the Fourth Proportional to 122,013.20, 182,728.20 and 98,685.20

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Solution

The fourth proportional to 122,013.20, 182,728.20 and 98,685.20 is: 147,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,013.20 : 182,728.20 = 98,685.20 : x
  2. Step 2: Convert to fraction form
    122,013.20/182,728.20 = 98,685.20/x
  3. Step 3: Cross multiply
    122,013.20x = 182,728.20 × 98,685.20
  4. Step 4: Simplify right side
    122,013.20x = 18,032,568,962.64
  5. Step 5: Solve for x
    x = 18,032,568,962.64/122,013.20
  6. Step 6: Final answer
    x = 147,791.95

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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.