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Finding the Fourth Proportional to 139,644.84, 209,500.07 and 39,806.48

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Solution

The fourth proportional to 139,644.84, 209,500.07 and 39,806.48 is: 59,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,644.84 : 209,500.07 = 39,806.48 : x
  2. Step 2: Convert to fraction form
    139,644.84/209,500.07 = 39,806.48/x
  3. Step 3: Cross multiply
    139,644.84x = 209,500.07 × 39,806.48
  4. Step 4: Simplify right side
    139,644.84x = 8,339,459,099.92
  5. Step 5: Solve for x
    x = 8,339,459,099.92/139,644.84
  6. Step 6: Final answer
    x = 59,719.06

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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.