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Finding the Fourth Proportional to 76,843.60, 115,135.80 and 63,624.40

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Solution

The fourth proportional to 76,843.60, 115,135.80 and 63,624.40 is: 95,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.60 : 115,135.80 = 63,624.40 : x
  2. Step 2: Convert to fraction form
    76,843.60/115,135.80 = 63,624.40/x
  3. Step 3: Cross multiply
    76,843.60x = 115,135.80 × 63,624.40
  4. Step 4: Simplify right side
    76,843.60x = 7,325,446,193.52
  5. Step 5: Solve for x
    x = 7,325,446,193.52/76,843.60
  6. Step 6: Final answer
    x = 95,329.29

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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.