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Finding the Fourth Proportional to 255,659.56, 383,489.34 and 78,166.58

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Solution

The fourth proportional to 255,659.56, 383,489.34 and 78,166.58 is: 117,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,659.56 : 383,489.34 = 78,166.58 : x
  2. Step 2: Convert to fraction form
    255,659.56/383,489.34 = 78,166.58/x
  3. Step 3: Cross multiply
    255,659.56x = 383,489.34 × 78,166.58
  4. Step 4: Simplify right side
    255,659.56x = 29,976,050,174.26
  5. Step 5: Solve for x
    x = 29,976,050,174.26/255,659.56
  6. Step 6: Final answer
    x = 117,249.87

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1.5x scale

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.