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Finding the Fourth Proportional to 214,513.64, 321,812.40 and 64,766.12

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Solution

The fourth proportional to 214,513.64, 321,812.40 and 64,766.12 is: 97,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,513.64 : 321,812.40 = 64,766.12 : x
  2. Step 2: Convert to fraction form
    214,513.64/321,812.40 = 64,766.12/x
  3. Step 3: Cross multiply
    214,513.64x = 321,812.40 × 64,766.12
  4. Step 4: Simplify right side
    214,513.64x = 20,842,540,515.89
  5. Step 5: Solve for x
    x = 20,842,540,515.89/214,513.64
  6. Step 6: Final answer
    x = 97,161.84

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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.