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Finding the Fourth Proportional to 178,891.72, 268,337.12 and 45,771.77

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Solution

The fourth proportional to 178,891.72, 268,337.12 and 45,771.77 is: 68,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,891.72 : 268,337.12 = 45,771.77 : x
  2. Step 2: Convert to fraction form
    178,891.72/268,337.12 = 45,771.77/x
  3. Step 3: Cross multiply
    178,891.72x = 268,337.12 × 45,771.77
  4. Step 4: Simplify right side
    178,891.72x = 12,282,264,939.10
  5. Step 5: Solve for x
    x = 12,282,264,939.10/178,891.72
  6. Step 6: Final answer
    x = 68,657.54

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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.