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Finding the Fourth Proportional to 149,007.70, 205,629.51 and 81,024.72

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Solution

The fourth proportional to 149,007.70, 205,629.51 and 81,024.72 is: 111,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,007.70 : 205,629.51 = 81,024.72 : x
  2. Step 2: Convert to fraction form
    149,007.70/205,629.51 = 81,024.72/x
  3. Step 3: Cross multiply
    149,007.70x = 205,629.51 × 81,024.72
  4. Step 4: Simplify right side
    149,007.70x = 16,661,073,471.49
  5. Step 5: Solve for x
    x = 16,661,073,471.49/149,007.70
  6. Step 6: Final answer
    x = 111,813.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.