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Finding the Fourth Proportional to 137,560.80, 205,903.80 and 98,194.80

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Solution

The fourth proportional to 137,560.80, 205,903.80 and 98,194.80 is: 146,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,560.80 : 205,903.80 = 98,194.80 : x
  2. Step 2: Convert to fraction form
    137,560.80/205,903.80 = 98,194.80/x
  3. Step 3: Cross multiply
    137,560.80x = 205,903.80 × 98,194.80
  4. Step 4: Simplify right side
    137,560.80x = 20,218,682,460.24
  5. Step 5: Solve for x
    x = 20,218,682,460.24/137,560.80
  6. Step 6: Final answer
    x = 146,979.97

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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.