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Finding the Fourth Proportional to 178,872.96, 268,309.12 and 45,753.28

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Solution

The fourth proportional to 178,872.96, 268,309.12 and 45,753.28 is: 68,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,872.96 : 268,309.12 = 45,753.28 : x
  2. Step 2: Convert to fraction form
    178,872.96/268,309.12 = 45,753.28/x
  3. Step 3: Cross multiply
    178,872.96x = 268,309.12 × 45,753.28
  4. Step 4: Simplify right side
    178,872.96x = 12,276,022,293.91
  5. Step 5: Solve for x
    x = 12,276,022,293.91/178,872.96
  6. Step 6: Final answer
    x = 68,629.84

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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.