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Finding the Fourth Proportional to 107,930.70, 161,896.05 and 105,857.10

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Solution

The fourth proportional to 107,930.70, 161,896.05 and 105,857.10 is: 158,785.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,930.70 : 161,896.05 = 105,857.10 : x
  2. Step 2: Convert to fraction form
    107,930.70/161,896.05 = 105,857.10/x
  3. Step 3: Cross multiply
    107,930.70x = 161,896.05 × 105,857.10
  4. Step 4: Simplify right side
    107,930.70x = 17,137,846,354.46
  5. Step 5: Solve for x
    x = 17,137,846,354.46/107,930.70
  6. Step 6: Final answer
    x = 158,785.65

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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.