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Finding the Fourth Proportional to 137,014.16, 205,004.45 and 80,884.80

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Solution

The fourth proportional to 137,014.16, 205,004.45 and 80,884.80 is: 121,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,014.16 : 205,004.45 = 80,884.80 : x
  2. Step 2: Convert to fraction form
    137,014.16/205,004.45 = 80,884.80/x
  3. Step 3: Cross multiply
    137,014.16x = 205,004.45 × 80,884.80
  4. Step 4: Simplify right side
    137,014.16x = 16,581,744,139.57
  5. Step 5: Solve for x
    x = 16,581,744,139.57/137,014.16
  6. Step 6: Final answer
    x = 121,022.12

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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.