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Finding the Fourth Proportional to 76,181.34, 114,345.72 and 36,766.20

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Solution

The fourth proportional to 76,181.34, 114,345.72 and 36,766.20 is: 55,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181.34 : 114,345.72 = 36,766.20 : x
  2. Step 2: Convert to fraction form
    76,181.34/114,345.72 = 36,766.20/x
  3. Step 3: Cross multiply
    76,181.34x = 114,345.72 × 36,766.20
  4. Step 4: Simplify right side
    76,181.34x = 4,204,057,610.66
  5. Step 5: Solve for x
    x = 4,204,057,610.66/76,181.34
  6. Step 6: Final answer
    x = 55,184.87

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1.5x scale

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.