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Finding the Fourth Proportional to 212,917.20, 319,375.80 and 100,560.48

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Solution

The fourth proportional to 212,917.20, 319,375.80 and 100,560.48 is: 150,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,917.20 : 319,375.80 = 100,560.48 : x
  2. Step 2: Convert to fraction form
    212,917.20/319,375.80 = 100,560.48/x
  3. Step 3: Cross multiply
    212,917.20x = 319,375.80 × 100,560.48
  4. Step 4: Simplify right side
    212,917.20x = 32,116,583,748.38
  5. Step 5: Solve for x
    x = 32,116,583,748.38/212,917.20
  6. Step 6: Final answer
    x = 150,840.72

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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.