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Finding the Fourth Proportional to 58,209.68, 87,310.32 and 20,765.54

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Solution

The fourth proportional to 58,209.68, 87,310.32 and 20,765.54 is: 31,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,209.68 : 87,310.32 = 20,765.54 : x
  2. Step 2: Convert to fraction form
    58,209.68/87,310.32 = 20,765.54/x
  3. Step 3: Cross multiply
    58,209.68x = 87,310.32 × 20,765.54
  4. Step 4: Simplify right side
    58,209.68x = 1,813,045,942.37
  5. Step 5: Solve for x
    x = 1,813,045,942.37/58,209.68
  6. Step 6: Final answer
    x = 31,146.81

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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.