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Finding the Fourth Proportional to 225,336.68, 310,964.13 and 123,361.31

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Solution

The fourth proportional to 225,336.68, 310,964.13 and 123,361.31 is: 170,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,336.68 : 310,964.13 = 123,361.31 : x
  2. Step 2: Convert to fraction form
    225,336.68/310,964.13 = 123,361.31/x
  3. Step 3: Cross multiply
    225,336.68x = 310,964.13 × 123,361.31
  4. Step 4: Simplify right side
    225,336.68x = 38,360,943,217.22
  5. Step 5: Solve for x
    x = 38,360,943,217.22/225,336.68
  6. Step 6: Final answer
    x = 170,238.34

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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.