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Finding the Fourth Proportional to 255,699.36, 383,568.48 and 78,219.72

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Solution

The fourth proportional to 255,699.36, 383,568.48 and 78,219.72 is: 117,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,699.36 : 383,568.48 = 78,219.72 : x
  2. Step 2: Convert to fraction form
    255,699.36/383,568.48 = 78,219.72/x
  3. Step 3: Cross multiply
    255,699.36x = 383,568.48 × 78,219.72
  4. Step 4: Simplify right side
    255,699.36x = 30,002,619,106.43
  5. Step 5: Solve for x
    x = 30,002,619,106.43/255,699.36
  6. Step 6: Final answer
    x = 117,335.53

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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.