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Finding the Fourth Proportional to 135,581.40, 203,429.70 and 65,424.60

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Solution

The fourth proportional to 135,581.40, 203,429.70 and 65,424.60 is: 98,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,581.40 : 203,429.70 = 65,424.60 : x
  2. Step 2: Convert to fraction form
    135,581.40/203,429.70 = 65,424.60/x
  3. Step 3: Cross multiply
    135,581.40x = 203,429.70 × 65,424.60
  4. Step 4: Simplify right side
    135,581.40x = 13,309,306,750.62
  5. Step 5: Solve for x
    x = 13,309,306,750.62/135,581.40
  6. Step 6: Final answer
    x = 98,164.69

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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.