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Finding the Fourth Proportional to 151,491.54, 209,048.92 and 83,505.00

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Solution

The fourth proportional to 151,491.54, 209,048.92 and 83,505.00 is: 115,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,491.54 : 209,048.92 = 83,505.00 : x
  2. Step 2: Convert to fraction form
    151,491.54/209,048.92 = 83,505.00/x
  3. Step 3: Cross multiply
    151,491.54x = 209,048.92 × 83,505.00
  4. Step 4: Simplify right side
    151,491.54x = 17,456,629,019.36
  5. Step 5: Solve for x
    x = 17,456,629,019.36/151,491.54
  6. Step 6: Final answer
    x = 115,231.71

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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.