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Finding the Fourth Proportional to 312,731.67, 469,097.64 and 76,072.89

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Solution

The fourth proportional to 312,731.67, 469,097.64 and 76,072.89 is: 114,109.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,731.67 : 469,097.64 = 76,072.89 : x
  2. Step 2: Convert to fraction form
    312,731.67/469,097.64 = 76,072.89/x
  3. Step 3: Cross multiply
    312,731.67x = 469,097.64 × 76,072.89
  4. Step 4: Simplify right side
    312,731.67x = 35,685,613,166.98
  5. Step 5: Solve for x
    x = 35,685,613,166.98/312,731.67
  6. Step 6: Final answer
    x = 114,109.37

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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.