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Finding the Fourth Proportional to 76,830, 115,290.36 and 32,453.88

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Solution

The fourth proportional to 76,830, 115,290.36 and 32,453.88 is: 48,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830 : 115,290.36 = 32,453.88 : x
  2. Step 2: Convert to fraction form
    76,830/115,290.36 = 32,453.88/x
  3. Step 3: Cross multiply
    76,830x = 115,290.36 × 32,453.88
  4. Step 4: Simplify right side
    76,830x = 3,741,619,508.60
  5. Step 5: Solve for x
    x = 3,741,619,508.60/76,830
  6. Step 6: Final answer
    x = 48,699.98

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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.