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Finding the Fourth Proportional to 255,339.12, 383,009.08 and 105,414.86

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Solution

The fourth proportional to 255,339.12, 383,009.08 and 105,414.86 is: 158,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,339.12 : 383,009.08 = 105,414.86 : x
  2. Step 2: Convert to fraction form
    255,339.12/383,009.08 = 105,414.86/x
  3. Step 3: Cross multiply
    255,339.12x = 383,009.08 × 105,414.86
  4. Step 4: Simplify right side
    255,339.12x = 40,374,848,546.93
  5. Step 5: Solve for x
    x = 40,374,848,546.93/255,339.12
  6. Step 6: Final answer
    x = 158,122.46

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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.