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Finding the Fourth Proportional to 139,608.27, 209,409.70 and 39,769.11

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Solution

The fourth proportional to 139,608.27, 209,409.70 and 39,769.11 is: 59,652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,608.27 : 209,409.70 = 39,769.11 : x
  2. Step 2: Convert to fraction form
    139,608.27/209,409.70 = 39,769.11/x
  3. Step 3: Cross multiply
    139,608.27x = 209,409.70 × 39,769.11
  4. Step 4: Simplify right side
    139,608.27x = 8,328,037,394.37
  5. Step 5: Solve for x
    x = 8,328,037,394.37/139,608.27
  6. Step 6: Final answer
    x = 59,652.89

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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.