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Finding the Fourth Proportional to 216,562.89, 324,719.64 and 83,425.80

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Solution

The fourth proportional to 216,562.89, 324,719.64 and 83,425.80 is: 125,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,562.89 : 324,719.64 = 83,425.80 : x
  2. Step 2: Convert to fraction form
    216,562.89/324,719.64 = 83,425.80/x
  3. Step 3: Cross multiply
    216,562.89x = 324,719.64 × 83,425.80
  4. Step 4: Simplify right side
    216,562.89x = 27,089,995,742.71
  5. Step 5: Solve for x
    x = 27,089,995,742.71/216,562.89
  6. Step 6: Final answer
    x = 125,090.66

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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.