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Finding the Fourth Proportional to 136,938.40, 205,436.40 and 77,725.60

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Solution

The fourth proportional to 136,938.40, 205,436.40 and 77,725.60 is: 116,604.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938.40 : 205,436.40 = 77,725.60 : x
  2. Step 2: Convert to fraction form
    136,938.40/205,436.40 = 77,725.60/x
  3. Step 3: Cross multiply
    136,938.40x = 205,436.40 × 77,725.60
  4. Step 4: Simplify right side
    136,938.40x = 15,967,667,451.84
  5. Step 5: Solve for x
    x = 15,967,667,451.84/136,938.40
  6. Step 6: Final answer
    x = 116,604.75

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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.