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Finding the Fourth Proportional to 255,842.64, 383,764.68 and 89,591.76

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Solution

The fourth proportional to 255,842.64, 383,764.68 and 89,591.76 is: 134,387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,842.64 : 383,764.68 = 89,591.76 : x
  2. Step 2: Convert to fraction form
    255,842.64/383,764.68 = 89,591.76/x
  3. Step 3: Cross multiply
    255,842.64x = 383,764.68 × 89,591.76
  4. Step 4: Simplify right side
    255,842.64x = 34,382,153,107.04
  5. Step 5: Solve for x
    x = 34,382,153,107.04/255,842.64
  6. Step 6: Final answer
    x = 134,387.89

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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.