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Finding the Fourth Proportional to 142,104.60, 213,272.10 and 137,496.60

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Solution

The fourth proportional to 142,104.60, 213,272.10 and 137,496.60 is: 206,356.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,104.60 : 213,272.10 = 137,496.60 : x
  2. Step 2: Convert to fraction form
    142,104.60/213,272.10 = 137,496.60/x
  3. Step 3: Cross multiply
    142,104.60x = 213,272.10 × 137,496.60
  4. Step 4: Simplify right side
    142,104.60x = 29,324,188,624.86
  5. Step 5: Solve for x
    x = 29,324,188,624.86/142,104.60
  6. Step 6: Final answer
    x = 206,356.36

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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.