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Finding the Fourth Proportional to 137,861.72, 190,234.49 and 77,439

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Solution

The fourth proportional to 137,861.72, 190,234.49 and 77,439 is: 106,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,861.72 : 190,234.49 = 77,439 : x
  2. Step 2: Convert to fraction form
    137,861.72/190,234.49 = 77,439/x
  3. Step 3: Cross multiply
    137,861.72x = 190,234.49 × 77,439
  4. Step 4: Simplify right side
    137,861.72x = 14,731,568,864.71
  5. Step 5: Solve for x
    x = 14,731,568,864.71/137,861.72
  6. Step 6: Final answer
    x = 106,857.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.