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Finding the Fourth Proportional to 255,899.80, 383,917.76 and 87,419.87

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Solution

The fourth proportional to 255,899.80, 383,917.76 and 87,419.87 is: 131,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,899.80 : 383,917.76 = 87,419.87 : x
  2. Step 2: Convert to fraction form
    255,899.80/383,917.76 = 87,419.87/x
  3. Step 3: Cross multiply
    255,899.80x = 383,917.76 × 87,419.87
  4. Step 4: Simplify right side
    255,899.80x = 33,562,040,669.89
  5. Step 5: Solve for x
    x = 33,562,040,669.89/255,899.80
  6. Step 6: Final answer
    x = 131,153.06

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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.