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Finding the Fourth Proportional to 49,379, 74,068.50 and 12,443

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Solution

The fourth proportional to 49,379, 74,068.50 and 12,443 is: 18,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,379 : 74,068.50 = 12,443 : x
  2. Step 2: Convert to fraction form
    49,379/74,068.50 = 12,443/x
  3. Step 3: Cross multiply
    49,379x = 74,068.50 × 12,443
  4. Step 4: Simplify right side
    49,379x = 921,634,345.50
  5. Step 5: Solve for x
    x = 921,634,345.50/49,379
  6. Step 6: Final answer
    x = 18,664.50

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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.