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Finding the Fourth Proportional to 136,429.20, 205,081.20 and 97,257.60

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Solution

The fourth proportional to 136,429.20, 205,081.20 and 97,257.60 is: 146,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,429.20 : 205,081.20 = 97,257.60 : x
  2. Step 2: Convert to fraction form
    136,429.20/205,081.20 = 97,257.60/x
  3. Step 3: Cross multiply
    136,429.20x = 205,081.20 × 97,257.60
  4. Step 4: Simplify right side
    136,429.20x = 19,945,705,317.12
  5. Step 5: Solve for x
    x = 19,945,705,317.12/136,429.20
  6. Step 6: Final answer
    x = 146,198.21

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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.