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Finding the Fourth Proportional to 214,001.63, 321,001.70 and 64,241.31

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Solution

The fourth proportional to 214,001.63, 321,001.70 and 64,241.31 is: 96,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,001.63 : 321,001.70 = 64,241.31 : x
  2. Step 2: Convert to fraction form
    214,001.63/321,001.70 = 64,241.31/x
  3. Step 3: Cross multiply
    214,001.63x = 321,001.70 × 64,241.31
  4. Step 4: Simplify right side
    214,001.63x = 20,621,569,399.02
  5. Step 5: Solve for x
    x = 20,621,569,399.02/214,001.63
  6. Step 6: Final answer
    x = 96,361.74

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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.