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Finding the Fourth Proportional to 205,376, 308,064 and 74,048

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Solution

The fourth proportional to 205,376, 308,064 and 74,048 is: 111,072

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,376 : 308,064 = 74,048 : x
  2. Step 2: Convert to fraction form
    205,376/308,064 = 74,048/x
  3. Step 3: Cross multiply
    205,376x = 308,064 × 74,048
  4. Step 4: Simplify right side
    205,376x = 22,811,523,072
  5. Step 5: Solve for x
    x = 22,811,523,072/205,376
  6. Step 6: Final answer
    x = 111,072

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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.