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Finding the Fourth Proportional to 142,101.60, 213,267.60 and 137,493.60

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Solution

The fourth proportional to 142,101.60, 213,267.60 and 137,493.60 is: 206,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,101.60 : 213,267.60 = 137,493.60 : x
  2. Step 2: Convert to fraction form
    142,101.60/213,267.60 = 137,493.60/x
  3. Step 3: Cross multiply
    142,101.60x = 213,267.60 × 137,493.60
  4. Step 4: Simplify right side
    142,101.60x = 29,322,930,087.36
  5. Step 5: Solve for x
    x = 29,322,930,087.36/142,101.60
  6. Step 6: Final answer
    x = 206,351.86

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1.5x scale

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.