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Finding the Fourth Proportional to 255,997.13, 383,981.30 and 78,503.64

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Solution

The fourth proportional to 255,997.13, 383,981.30 and 78,503.64 is: 117,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,997.13 : 383,981.30 = 78,503.64 : x
  2. Step 2: Convert to fraction form
    255,997.13/383,981.30 = 78,503.64/x
  3. Step 3: Cross multiply
    255,997.13x = 383,981.30 × 78,503.64
  4. Step 4: Simplify right side
    255,997.13x = 30,143,929,938.19
  5. Step 5: Solve for x
    x = 30,143,929,938.19/255,997.13
  6. Step 6: Final answer
    x = 117,751.05

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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.