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Finding the Fourth Proportional to 82,830.60, 123,954.30 and 75,832.20

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Solution

The fourth proportional to 82,830.60, 123,954.30 and 75,832.20 is: 113,481.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.60 : 123,954.30 = 75,832.20 : x
  2. Step 2: Convert to fraction form
    82,830.60/123,954.30 = 75,832.20/x
  3. Step 3: Cross multiply
    82,830.60x = 123,954.30 × 75,832.20
  4. Step 4: Simplify right side
    82,830.60x = 9,399,727,268.46
  5. Step 5: Solve for x
    x = 9,399,727,268.46/82,830.60
  6. Step 6: Final answer
    x = 113,481.34

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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.