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Finding the Fourth Proportional to 82,181.76, 123,280.32 and 37,820.88

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Solution

The fourth proportional to 82,181.76, 123,280.32 and 37,820.88 is: 56,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,181.76 : 123,280.32 = 37,820.88 : x
  2. Step 2: Convert to fraction form
    82,181.76/123,280.32 = 37,820.88/x
  3. Step 3: Cross multiply
    82,181.76x = 123,280.32 × 37,820.88
  4. Step 4: Simplify right side
    82,181.76x = 4,662,570,189.08
  5. Step 5: Solve for x
    x = 4,662,570,189.08/82,181.76
  6. Step 6: Final answer
    x = 56,734.85

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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.