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Finding the Fourth Proportional to 136,912.80, 205,369.20 and 77,930.40

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Solution

The fourth proportional to 136,912.80, 205,369.20 and 77,930.40 is: 116,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,912.80 : 205,369.20 = 77,930.40 : x
  2. Step 2: Convert to fraction form
    136,912.80/205,369.20 = 77,930.40/x
  3. Step 3: Cross multiply
    136,912.80x = 205,369.20 × 77,930.40
  4. Step 4: Simplify right side
    136,912.80x = 16,004,503,903.68
  5. Step 5: Solve for x
    x = 16,004,503,903.68/136,912.80
  6. Step 6: Final answer
    x = 116,895.60

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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.