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Finding the Fourth Proportional to 216,575.37, 324,918.42 and 83,419.88

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Solution

The fourth proportional to 216,575.37, 324,918.42 and 83,419.88 is: 125,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,575.37 : 324,918.42 = 83,419.88 : x
  2. Step 2: Convert to fraction form
    216,575.37/324,918.42 = 83,419.88/x
  3. Step 3: Cross multiply
    216,575.37x = 324,918.42 × 83,419.88
  4. Step 4: Simplify right side
    216,575.37x = 27,104,653,981.60
  5. Step 5: Solve for x
    x = 27,104,653,981.60/216,575.37
  6. Step 6: Final answer
    x = 125,151.14

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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.