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Finding the Fourth Proportional to 178,912, 268,377.12 and 45,793.36

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Solution

The fourth proportional to 178,912, 268,377.12 and 45,793.36 is: 68,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,912 : 268,377.12 = 45,793.36 : x
  2. Step 2: Convert to fraction form
    178,912/268,377.12 = 45,793.36/x
  3. Step 3: Cross multiply
    178,912x = 268,377.12 × 45,793.36
  4. Step 4: Simplify right side
    178,912x = 12,289,890,071.92
  5. Step 5: Solve for x
    x = 12,289,890,071.92/178,912
  6. Step 6: Final answer
    x = 68,692.37

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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.