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Finding the Fourth Proportional to 139,876.77, 209,835.99 and 49,912.47

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Solution

The fourth proportional to 139,876.77, 209,835.99 and 49,912.47 is: 74,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.77 : 209,835.99 = 49,912.47 : x
  2. Step 2: Convert to fraction form
    139,876.77/209,835.99 = 49,912.47/x
  3. Step 3: Cross multiply
    139,876.77x = 209,835.99 × 49,912.47
  4. Step 4: Simplify right side
    139,876.77x = 10,473,432,555.80
  5. Step 5: Solve for x
    x = 10,473,432,555.80/139,876.77
  6. Step 6: Final answer
    x = 74,876.14

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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.