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Finding the Fourth Proportional to 139,739.40, 209,609.10 and 133,615.80

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Solution

The fourth proportional to 139,739.40, 209,609.10 and 133,615.80 is: 200,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,739.40 : 209,609.10 = 133,615.80 : x
  2. Step 2: Convert to fraction form
    139,739.40/209,609.10 = 133,615.80/x
  3. Step 3: Cross multiply
    139,739.40x = 209,609.10 × 133,615.80
  4. Step 4: Simplify right side
    139,739.40x = 28,007,087,583.78
  5. Step 5: Solve for x
    x = 28,007,087,583.78/139,739.40
  6. Step 6: Final answer
    x = 200,423.70

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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.