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Finding the Fourth Proportional to 255,783.69, 383,661.90 and 78,290.82

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Solution

The fourth proportional to 255,783.69, 383,661.90 and 78,290.82 is: 117,432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,783.69 : 383,661.90 = 78,290.82 : x
  2. Step 2: Convert to fraction form
    255,783.69/383,661.90 = 78,290.82/x
  3. Step 3: Cross multiply
    255,783.69x = 383,661.90 × 78,290.82
  4. Step 4: Simplify right side
    255,783.69x = 30,037,204,753.76
  5. Step 5: Solve for x
    x = 30,037,204,753.76/255,783.69
  6. Step 6: Final answer
    x = 117,432.06

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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.