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Finding the Fourth Proportional to 76,788.64, 115,236.72 and 35,262.88

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Solution

The fourth proportional to 76,788.64, 115,236.72 and 35,262.88 is: 52,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788.64 : 115,236.72 = 35,262.88 : x
  2. Step 2: Convert to fraction form
    76,788.64/115,236.72 = 35,262.88/x
  3. Step 3: Cross multiply
    76,788.64x = 115,236.72 × 35,262.88
  4. Step 4: Simplify right side
    76,788.64x = 4,063,578,628.95
  5. Step 5: Solve for x
    x = 4,063,578,628.95/76,788.64
  6. Step 6: Final answer
    x = 52,919.01

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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.