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Finding the Fourth Proportional to 243,286.79, 364,940.14 and 83,472.64

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Solution

The fourth proportional to 243,286.79, 364,940.14 and 83,472.64 is: 125,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,286.79 : 364,940.14 = 83,472.64 : x
  2. Step 2: Convert to fraction form
    243,286.79/364,940.14 = 83,472.64/x
  3. Step 3: Cross multiply
    243,286.79x = 364,940.14 × 83,472.64
  4. Step 4: Simplify right side
    243,286.79x = 30,462,515,806.74
  5. Step 5: Solve for x
    x = 30,462,515,806.74/243,286.79
  6. Step 6: Final answer
    x = 125,212.37

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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.