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Finding the Fourth Proportional to 255,588.95, 383,452.45 and 78,091.12

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Solution

The fourth proportional to 255,588.95, 383,452.45 and 78,091.12 is: 117,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,588.95 : 383,452.45 = 78,091.12 : x
  2. Step 2: Convert to fraction form
    255,588.95/383,452.45 = 78,091.12/x
  3. Step 3: Cross multiply
    255,588.95x = 383,452.45 × 78,091.12
  4. Step 4: Simplify right side
    255,588.95x = 29,944,231,571.33
  5. Step 5: Solve for x
    x = 29,944,231,571.33/255,588.95
  6. Step 6: Final answer
    x = 117,157.77

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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.