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Finding the Fourth Proportional to 255,990.74, 383,991.64 and 78,493.82

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Solution

The fourth proportional to 255,990.74, 383,991.64 and 78,493.82 is: 117,742.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,990.74 : 383,991.64 = 78,493.82 : x
  2. Step 2: Convert to fraction form
    255,990.74/383,991.64 = 78,493.82/x
  3. Step 3: Cross multiply
    255,990.74x = 383,991.64 × 78,493.82
  4. Step 4: Simplify right side
    255,990.74x = 30,140,968,555.47
  5. Step 5: Solve for x
    x = 30,140,968,555.47/255,990.74
  6. Step 6: Final answer
    x = 117,742.42

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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.