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Finding the Fourth Proportional to 138,198.54, 207,374.34 and 128,160.20

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Solution

The fourth proportional to 138,198.54, 207,374.34 and 128,160.20 is: 192,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,198.54 : 207,374.34 = 128,160.20 : x
  2. Step 2: Convert to fraction form
    138,198.54/207,374.34 = 128,160.20/x
  3. Step 3: Cross multiply
    138,198.54x = 207,374.34 × 128,160.20
  4. Step 4: Simplify right side
    138,198.54x = 26,577,136,889.27
  5. Step 5: Solve for x
    x = 26,577,136,889.27/138,198.54
  6. Step 6: Final answer
    x = 192,311.27

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1.5x scale

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.