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Finding the Fourth Proportional to 225,731.69, 311,508.01 and 123,755.93

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Solution

The fourth proportional to 225,731.69, 311,508.01 and 123,755.93 is: 170,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,731.69 : 311,508.01 = 123,755.93 : x
  2. Step 2: Convert to fraction form
    225,731.69/311,508.01 = 123,755.93/x
  3. Step 3: Cross multiply
    225,731.69x = 311,508.01 × 123,755.93
  4. Step 4: Simplify right side
    225,731.69x = 38,550,963,480.00
  5. Step 5: Solve for x
    x = 38,550,963,480.00/225,731.69
  6. Step 6: Final answer
    x = 170,782.24

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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.