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Finding the Fourth Proportional to 161,261.60, 241,690.80 and 82,407.20

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Solution

The fourth proportional to 161,261.60, 241,690.80 and 82,407.20 is: 123,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,261.60 : 241,690.80 = 82,407.20 : x
  2. Step 2: Convert to fraction form
    161,261.60/241,690.80 = 82,407.20/x
  3. Step 3: Cross multiply
    161,261.60x = 241,690.80 × 82,407.20
  4. Step 4: Simplify right side
    161,261.60x = 19,917,062,093.76
  5. Step 5: Solve for x
    x = 19,917,062,093.76/161,261.60
  6. Step 6: Final answer
    x = 123,507.78

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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.