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Finding the Fourth Proportional to 137,013.91, 205,004.07 and 80,884.55

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Solution

The fourth proportional to 137,013.91, 205,004.07 and 80,884.55 is: 121,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,013.91 : 205,004.07 = 80,884.55 : x
  2. Step 2: Convert to fraction form
    137,013.91/205,004.07 = 80,884.55/x
  3. Step 3: Cross multiply
    137,013.91x = 205,004.07 × 80,884.55
  4. Step 4: Simplify right side
    137,013.91x = 16,581,661,950.12
  5. Step 5: Solve for x
    x = 16,581,661,950.12/137,013.91
  6. Step 6: Final answer
    x = 121,021.74

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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.