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Finding the Fourth Proportional to 312,086.58, 468,129.93 and 75,429.21

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Solution

The fourth proportional to 312,086.58, 468,129.93 and 75,429.21 is: 113,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,086.58 : 468,129.93 = 75,429.21 : x
  2. Step 2: Convert to fraction form
    312,086.58/468,129.93 = 75,429.21/x
  3. Step 3: Cross multiply
    312,086.58x = 468,129.93 × 75,429.21
  4. Step 4: Simplify right side
    312,086.58x = 35,310,670,797.26
  5. Step 5: Solve for x
    x = 35,310,670,797.26/312,086.58
  6. Step 6: Final answer
    x = 113,143.83

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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.