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Finding the Fourth Proportional to 138,022.80, 206,596.80 and 98,656.80

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Solution

The fourth proportional to 138,022.80, 206,596.80 and 98,656.80 is: 147,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,022.80 : 206,596.80 = 98,656.80 : x
  2. Step 2: Convert to fraction form
    138,022.80/206,596.80 = 98,656.80/x
  3. Step 3: Cross multiply
    138,022.80x = 206,596.80 × 98,656.80
  4. Step 4: Simplify right side
    138,022.80x = 20,382,179,178.24
  5. Step 5: Solve for x
    x = 20,382,179,178.24/138,022.80
  6. Step 6: Final answer
    x = 147,672.55

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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.