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Finding the Fourth Proportional to 161,142.56, 241,630.84 and 72,319.92

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Solution

The fourth proportional to 161,142.56, 241,630.84 and 72,319.92 is: 108,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,142.56 : 241,630.84 = 72,319.92 : x
  2. Step 2: Convert to fraction form
    161,142.56/241,630.84 = 72,319.92/x
  3. Step 3: Cross multiply
    161,142.56x = 241,630.84 × 72,319.92
  4. Step 4: Simplify right side
    161,142.56x = 17,474,723,018.33
  5. Step 5: Solve for x
    x = 17,474,723,018.33/161,142.56
  6. Step 6: Final answer
    x = 108,442.63

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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.