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Finding the Fourth Proportional to 242,861.96, 364,305.90 and 76,637

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Solution

The fourth proportional to 242,861.96, 364,305.90 and 76,637 is: 114,959.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,861.96 : 364,305.90 = 76,637 : x
  2. Step 2: Convert to fraction form
    242,861.96/364,305.90 = 76,637/x
  3. Step 3: Cross multiply
    242,861.96x = 364,305.90 × 76,637
  4. Step 4: Simplify right side
    242,861.96x = 27,919,311,258.30
  5. Step 5: Solve for x
    x = 27,919,311,258.30/242,861.96
  6. Step 6: Final answer
    x = 114,959.59

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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.