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Finding the Fourth Proportional to 255,983.22, 383,960.48 and 78,489.74

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Solution

The fourth proportional to 255,983.22, 383,960.48 and 78,489.74 is: 117,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,983.22 : 383,960.48 = 78,489.74 : x
  2. Step 2: Convert to fraction form
    255,983.22/383,960.48 = 78,489.74/x
  3. Step 3: Cross multiply
    255,983.22x = 383,960.48 × 78,489.74
  4. Step 4: Simplify right side
    255,983.22x = 30,136,958,812.93
  5. Step 5: Solve for x
    x = 30,136,958,812.93/255,983.22
  6. Step 6: Final answer
    x = 117,730.21

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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.