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Finding the Fourth Proportional to 178,967, 268,452.12 and 54,308

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Solution

The fourth proportional to 178,967, 268,452.12 and 54,308 is: 81,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,967 : 268,452.12 = 54,308 : x
  2. Step 2: Convert to fraction form
    178,967/268,452.12 = 54,308/x
  3. Step 3: Cross multiply
    178,967x = 268,452.12 × 54,308
  4. Step 4: Simplify right side
    178,967x = 14,579,097,732.96
  5. Step 5: Solve for x
    x = 14,579,097,732.96/178,967
  6. Step 6: Final answer
    x = 81,462.49

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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.