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Finding the Fourth Proportional to 212,872.60, 293,764.80 and 117,377.20

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Solution

The fourth proportional to 212,872.60, 293,764.80 and 117,377.20 is: 161,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,872.60 : 293,764.80 = 117,377.20 : x
  2. Step 2: Convert to fraction form
    212,872.60/293,764.80 = 117,377.20/x
  3. Step 3: Cross multiply
    212,872.60x = 293,764.80 × 117,377.20
  4. Step 4: Simplify right side
    212,872.60x = 34,481,289,682.56
  5. Step 5: Solve for x
    x = 34,481,289,682.56/212,872.60
  6. Step 6: Final answer
    x = 161,980.87

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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.