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Finding the Fourth Proportional to 255,937.96, 383,980.72 and 78,471.15

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Solution

The fourth proportional to 255,937.96, 383,980.72 and 78,471.15 is: 117,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,937.96 : 383,980.72 = 78,471.15 : x
  2. Step 2: Convert to fraction form
    255,937.96/383,980.72 = 78,471.15/x
  3. Step 3: Cross multiply
    255,937.96x = 383,980.72 × 78,471.15
  4. Step 4: Simplify right side
    255,937.96x = 30,131,408,676.23
  5. Step 5: Solve for x
    x = 30,131,408,676.23/255,937.96
  6. Step 6: Final answer
    x = 117,729.35

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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.