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Finding the Fourth Proportional to 137,006.60, 189,076.26 and 83,282.80

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Solution

The fourth proportional to 137,006.60, 189,076.26 and 83,282.80 is: 114,934.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,006.60 : 189,076.26 = 83,282.80 : x
  2. Step 2: Convert to fraction form
    137,006.60/189,076.26 = 83,282.80/x
  3. Step 3: Cross multiply
    137,006.60x = 189,076.26 × 83,282.80
  4. Step 4: Simplify right side
    137,006.60x = 15,746,800,346.33
  5. Step 5: Solve for x
    x = 15,746,800,346.33/137,006.60
  6. Step 6: Final answer
    x = 114,934.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.