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Finding the Fourth Proportional to 255,518.42, 383,277.63 and 78,015.92

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Solution

The fourth proportional to 255,518.42, 383,277.63 and 78,015.92 is: 117,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,518.42 : 383,277.63 = 78,015.92 : x
  2. Step 2: Convert to fraction form
    255,518.42/383,277.63 = 78,015.92/x
  3. Step 3: Cross multiply
    255,518.42x = 383,277.63 × 78,015.92
  4. Step 4: Simplify right side
    255,518.42x = 29,901,756,919.87
  5. Step 5: Solve for x
    x = 29,901,756,919.87/255,518.42
  6. Step 6: Final answer
    x = 117,023.88

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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.