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Finding the Fourth Proportional to 214,568.74, 321,911.19 and 64,813.90

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Solution

The fourth proportional to 214,568.74, 321,911.19 and 64,813.90 is: 97,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,568.74 : 321,911.19 = 64,813.90 : x
  2. Step 2: Convert to fraction form
    214,568.74/321,911.19 = 64,813.90/x
  3. Step 3: Cross multiply
    214,568.74x = 321,911.19 × 64,813.90
  4. Step 4: Simplify right side
    214,568.74x = 20,864,319,677.54
  5. Step 5: Solve for x
    x = 20,864,319,677.54/214,568.74
  6. Step 6: Final answer
    x = 97,238.39

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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.