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Finding the Fourth Proportional to 212,876.72, 293,769.41 and 117,383.79

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Solution

The fourth proportional to 212,876.72, 293,769.41 and 117,383.79 is: 161,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,876.72 : 293,769.41 = 117,383.79 : x
  2. Step 2: Convert to fraction form
    212,876.72/293,769.41 = 117,383.79/x
  3. Step 3: Cross multiply
    212,876.72x = 293,769.41 × 117,383.79
  4. Step 4: Simplify right side
    212,876.72x = 34,483,766,144.95
  5. Step 5: Solve for x
    x = 34,483,766,144.95/212,876.72
  6. Step 6: Final answer
    x = 161,989.38

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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.