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Finding the Fourth Proportional to 216,693.90, 324,989.82 and 121,964.40

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Solution

The fourth proportional to 216,693.90, 324,989.82 and 121,964.40 is: 182,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,693.90 : 324,989.82 = 121,964.40 : x
  2. Step 2: Convert to fraction form
    216,693.90/324,989.82 = 121,964.40/x
  3. Step 3: Cross multiply
    216,693.90x = 324,989.82 × 121,964.40
  4. Step 4: Simplify right side
    216,693.90x = 39,637,188,402.41
  5. Step 5: Solve for x
    x = 39,637,188,402.41/216,693.90
  6. Step 6: Final answer
    x = 182,917.88

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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.