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Finding the Fourth Proportional to 136,765.60, 205,033.20 and 71,101.60

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Solution

The fourth proportional to 136,765.60, 205,033.20 and 71,101.60 is: 106,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,765.60 : 205,033.20 = 71,101.60 : x
  2. Step 2: Convert to fraction form
    136,765.60/205,033.20 = 71,101.60/x
  3. Step 3: Cross multiply
    136,765.60x = 205,033.20 × 71,101.60
  4. Step 4: Simplify right side
    136,765.60x = 14,578,188,573.12
  5. Step 5: Solve for x
    x = 14,578,188,573.12/136,765.60
  6. Step 6: Final answer
    x = 106,592.51

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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.