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Finding the Fourth Proportional to 312,140.79, 468,200.24 and 87,499.44

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Solution

The fourth proportional to 312,140.79, 468,200.24 and 87,499.44 is: 131,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.79 : 468,200.24 = 87,499.44 : x
  2. Step 2: Convert to fraction form
    312,140.79/468,200.24 = 87,499.44/x
  3. Step 3: Cross multiply
    312,140.79x = 468,200.24 × 87,499.44
  4. Step 4: Simplify right side
    312,140.79x = 40,967,258,370.37
  5. Step 5: Solve for x
    x = 40,967,258,370.37/312,140.79
  6. Step 6: Final answer
    x = 131,246.09

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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.