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Finding the Fourth Proportional to 76,808.52, 115,212.60 and 30,028.50

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Solution

The fourth proportional to 76,808.52, 115,212.60 and 30,028.50 is: 45,042.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808.52 : 115,212.60 = 30,028.50 : x
  2. Step 2: Convert to fraction form
    76,808.52/115,212.60 = 30,028.50/x
  3. Step 3: Cross multiply
    76,808.52x = 115,212.60 × 30,028.50
  4. Step 4: Simplify right side
    76,808.52x = 3,459,661,559.10
  5. Step 5: Solve for x
    x = 3,459,661,559.10/76,808.52
  6. Step 6: Final answer
    x = 45,042.68

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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.