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Finding the Fourth Proportional to 123,286.32, 184,929.48 and 78,933.96

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Solution

The fourth proportional to 123,286.32, 184,929.48 and 78,933.96 is: 118,400.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,286.32 : 184,929.48 = 78,933.96 : x
  2. Step 2: Convert to fraction form
    123,286.32/184,929.48 = 78,933.96/x
  3. Step 3: Cross multiply
    123,286.32x = 184,929.48 × 78,933.96
  4. Step 4: Simplify right side
    123,286.32x = 14,597,216,177.14
  5. Step 5: Solve for x
    x = 14,597,216,177.14/123,286.32
  6. Step 6: Final answer
    x = 118,400.94

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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.