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Finding the Fourth Proportional to 136,825.68, 205,238.52 and 99,622.52

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Solution

The fourth proportional to 136,825.68, 205,238.52 and 99,622.52 is: 149,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,825.68 : 205,238.52 = 99,622.52 : x
  2. Step 2: Convert to fraction form
    136,825.68/205,238.52 = 99,622.52/x
  3. Step 3: Cross multiply
    136,825.68x = 205,238.52 × 99,622.52
  4. Step 4: Simplify right side
    136,825.68x = 20,446,378,563.47
  5. Step 5: Solve for x
    x = 20,446,378,563.47/136,825.68
  6. Step 6: Final answer
    x = 149,433.78

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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.