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Finding the Fourth Proportional to 214,478.39, 321,709.49 and 64,714.68

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Solution

The fourth proportional to 214,478.39, 321,709.49 and 64,714.68 is: 97,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.39 : 321,709.49 = 64,714.68 : x
  2. Step 2: Convert to fraction form
    214,478.39/321,709.49 = 64,714.68/x
  3. Step 3: Cross multiply
    214,478.39x = 321,709.49 × 64,714.68
  4. Step 4: Simplify right side
    214,478.39x = 20,819,325,089.77
  5. Step 5: Solve for x
    x = 20,819,325,089.77/214,478.39
  6. Step 6: Final answer
    x = 97,069.57

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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.