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Finding the Fourth Proportional to 225,686.40, 338,448.78 and 105,722.82

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Solution

The fourth proportional to 225,686.40, 338,448.78 and 105,722.82 is: 158,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,686.40 : 338,448.78 = 105,722.82 : x
  2. Step 2: Convert to fraction form
    225,686.40/338,448.78 = 105,722.82/x
  3. Step 3: Cross multiply
    225,686.40x = 338,448.78 × 105,722.82
  4. Step 4: Simplify right side
    225,686.40x = 35,781,759,447.16
  5. Step 5: Solve for x
    x = 35,781,759,447.16/225,686.40
  6. Step 6: Final answer
    x = 158,546.37

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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.