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Finding the Fourth Proportional to 212,446.74, 318,867.21 and 107,339.52

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Solution

The fourth proportional to 212,446.74, 318,867.21 and 107,339.52 is: 161,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,446.74 : 318,867.21 = 107,339.52 : x
  2. Step 2: Convert to fraction form
    212,446.74/318,867.21 = 107,339.52/x
  3. Step 3: Cross multiply
    212,446.74x = 318,867.21 × 107,339.52
  4. Step 4: Simplify right side
    212,446.74x = 34,227,053,265.14
  5. Step 5: Solve for x
    x = 34,227,053,265.14/212,446.74
  6. Step 6: Final answer
    x = 161,108.87

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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.