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Finding the Fourth Proportional to 255,839.76, 383,760.60 and 78,346.08

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Solution

The fourth proportional to 255,839.76, 383,760.60 and 78,346.08 is: 117,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,839.76 : 383,760.60 = 78,346.08 : x
  2. Step 2: Convert to fraction form
    255,839.76/383,760.60 = 78,346.08/x
  3. Step 3: Cross multiply
    255,839.76x = 383,760.60 × 78,346.08
  4. Step 4: Simplify right side
    255,839.76x = 30,066,138,668.45
  5. Step 5: Solve for x
    x = 30,066,138,668.45/255,839.76
  6. Step 6: Final answer
    x = 117,519.41

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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.