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Finding the Fourth Proportional to 178,285.72, 267,429 and 45,166

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Solution

The fourth proportional to 178,285.72, 267,429 and 45,166 is: 67,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,285.72 : 267,429 = 45,166 : x
  2. Step 2: Convert to fraction form
    178,285.72/267,429 = 45,166/x
  3. Step 3: Cross multiply
    178,285.72x = 267,429 × 45,166
  4. Step 4: Simplify right side
    178,285.72x = 12,078,698,214
  5. Step 5: Solve for x
    x = 12,078,698,214/178,285.72
  6. Step 6: Final answer
    x = 67,749.11

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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.