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Finding the Fourth Proportional to 136,798.56, 188,772.39 and 80,199

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Solution

The fourth proportional to 136,798.56, 188,772.39 and 80,199 is: 110,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,798.56 : 188,772.39 = 80,199 : x
  2. Step 2: Convert to fraction form
    136,798.56/188,772.39 = 80,199/x
  3. Step 3: Cross multiply
    136,798.56x = 188,772.39 × 80,199
  4. Step 4: Simplify right side
    136,798.56x = 15,139,356,905.61
  5. Step 5: Solve for x
    x = 15,139,356,905.61/136,798.56
  6. Step 6: Final answer
    x = 110,668.98

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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.