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Finding the Fourth Proportional to 139,645.16, 209,500.54 and 39,806.78

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Solution

The fourth proportional to 139,645.16, 209,500.54 and 39,806.78 is: 59,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,645.16 : 209,500.54 = 39,806.78 : x
  2. Step 2: Convert to fraction form
    139,645.16/209,500.54 = 39,806.78/x
  3. Step 3: Cross multiply
    139,645.16x = 209,500.54 × 39,806.78
  4. Step 4: Simplify right side
    139,645.16x = 8,339,541,706.63
  5. Step 5: Solve for x
    x = 8,339,541,706.63/139,645.16
  6. Step 6: Final answer
    x = 59,719.52

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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.