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Finding the Fourth Proportional to 147,497.70, 203,546.44 and 80,429.70

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Solution

The fourth proportional to 147,497.70, 203,546.44 and 80,429.70 is: 110,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,497.70 : 203,546.44 = 80,429.70 : x
  2. Step 2: Convert to fraction form
    147,497.70/203,546.44 = 80,429.70/x
  3. Step 3: Cross multiply
    147,497.70x = 203,546.44 × 80,429.70
  4. Step 4: Simplify right side
    147,497.70x = 16,371,178,087.54
  5. Step 5: Solve for x
    x = 16,371,178,087.54/147,497.70
  6. Step 6: Final answer
    x = 110,992.77

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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.