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Finding the Fourth Proportional to 255,781.80, 383,672.70 and 78,289.20

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Solution

The fourth proportional to 255,781.80, 383,672.70 and 78,289.20 is: 117,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,781.80 : 383,672.70 = 78,289.20 : x
  2. Step 2: Convert to fraction form
    255,781.80/383,672.70 = 78,289.20/x
  3. Step 3: Cross multiply
    255,781.80x = 383,672.70 × 78,289.20
  4. Step 4: Simplify right side
    255,781.80x = 30,037,428,744.84
  5. Step 5: Solve for x
    x = 30,037,428,744.84/255,781.80
  6. Step 6: Final answer
    x = 117,433.80

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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.