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Finding the Fourth Proportional to 119,198.72, 178,799.64 and 51,715.28

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Solution

The fourth proportional to 119,198.72, 178,799.64 and 51,715.28 is: 77,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,198.72 : 178,799.64 = 51,715.28 : x
  2. Step 2: Convert to fraction form
    119,198.72/178,799.64 = 51,715.28/x
  3. Step 3: Cross multiply
    119,198.72x = 178,799.64 × 51,715.28
  4. Step 4: Simplify right side
    119,198.72x = 9,246,673,446.50
  5. Step 5: Solve for x
    x = 9,246,673,446.50/119,198.72
  6. Step 6: Final answer
    x = 77,573.60

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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.