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Finding the Fourth Proportional to 76,713.12, 114,985.80 and 37,181.88

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Solution

The fourth proportional to 76,713.12, 114,985.80 and 37,181.88 is: 55,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,713.12 : 114,985.80 = 37,181.88 : x
  2. Step 2: Convert to fraction form
    76,713.12/114,985.80 = 37,181.88/x
  3. Step 3: Cross multiply
    76,713.12x = 114,985.80 × 37,181.88
  4. Step 4: Simplify right side
    76,713.12x = 4,275,388,217.30
  5. Step 5: Solve for x
    x = 4,275,388,217.30/76,713.12
  6. Step 6: Final answer
    x = 55,732.16

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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.