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Finding the Fourth Proportional to 140,653.48, 194,115 and 84,063.64

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Solution

The fourth proportional to 140,653.48, 194,115 and 84,063.64 is: 116,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,653.48 : 194,115 = 84,063.64 : x
  2. Step 2: Convert to fraction form
    140,653.48/194,115 = 84,063.64/x
  3. Step 3: Cross multiply
    140,653.48x = 194,115 × 84,063.64
  4. Step 4: Simplify right side
    140,653.48x = 16,318,013,478.60
  5. Step 5: Solve for x
    x = 16,318,013,478.60/140,653.48
  6. Step 6: Final answer
    x = 116,015.71

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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.