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Finding the Fourth Proportional to 212,580.38, 293,354.82 and 115,782

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Solution

The fourth proportional to 212,580.38, 293,354.82 and 115,782 is: 159,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,580.38 : 293,354.82 = 115,782 : x
  2. Step 2: Convert to fraction form
    212,580.38/293,354.82 = 115,782/x
  3. Step 3: Cross multiply
    212,580.38x = 293,354.82 × 115,782
  4. Step 4: Simplify right side
    212,580.38x = 33,965,207,769.24
  5. Step 5: Solve for x
    x = 33,965,207,769.24/212,580.38
  6. Step 6: Final answer
    x = 159,775.84

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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.