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Finding the Fourth Proportional to 212,507.73, 318,837.45 and 100,203.92

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Solution

The fourth proportional to 212,507.73, 318,837.45 and 100,203.92 is: 150,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,507.73 : 318,837.45 = 100,203.92 : x
  2. Step 2: Convert to fraction form
    212,507.73/318,837.45 = 100,203.92/x
  3. Step 3: Cross multiply
    212,507.73x = 318,837.45 × 100,203.92
  4. Step 4: Simplify right side
    212,507.73x = 31,948,760,738.62
  5. Step 5: Solve for x
    x = 31,948,760,738.62/212,507.73
  6. Step 6: Final answer
    x = 150,341.64

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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.