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Finding the Fourth Proportional to 255,591.84, 383,443.92 and 78,112.56

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Solution

The fourth proportional to 255,591.84, 383,443.92 and 78,112.56 is: 117,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,591.84 : 383,443.92 = 78,112.56 : x
  2. Step 2: Convert to fraction form
    255,591.84/383,443.92 = 78,112.56/x
  3. Step 3: Cross multiply
    255,591.84x = 383,443.92 × 78,112.56
  4. Step 4: Simplify right side
    255,591.84x = 29,951,786,207.64
  5. Step 5: Solve for x
    x = 29,951,786,207.64/255,591.84
  6. Step 6: Final answer
    x = 117,186.00

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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.