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Finding the Fourth Proportional to 214,478.63, 321,709.86 and 64,714.93

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Solution

The fourth proportional to 214,478.63, 321,709.86 and 64,714.93 is: 97,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,478.63 : 321,709.86 = 64,714.93 : x
  2. Step 2: Convert to fraction form
    214,478.63/321,709.86 = 64,714.93/x
  3. Step 3: Cross multiply
    214,478.63x = 321,709.86 × 64,714.93
  4. Step 4: Simplify right side
    214,478.63x = 20,819,430,265.94
  5. Step 5: Solve for x
    x = 20,819,430,265.94/214,478.63
  6. Step 6: Final answer
    x = 97,069.95

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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.