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Finding the Fourth Proportional to 138,976.63, 208,446.51 and 39,144.67

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Solution

The fourth proportional to 138,976.63, 208,446.51 and 39,144.67 is: 58,711.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,976.63 : 208,446.51 = 39,144.67 : x
  2. Step 2: Convert to fraction form
    138,976.63/208,446.51 = 39,144.67/x
  3. Step 3: Cross multiply
    138,976.63x = 208,446.51 × 39,144.67
  4. Step 4: Simplify right side
    138,976.63x = 8,159,569,846.60
  5. Step 5: Solve for x
    x = 8,159,569,846.60/138,976.63
  6. Step 6: Final answer
    x = 58,711.81

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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.