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Finding the Fourth Proportional to 225,161.42, 310,725.05 and 123,184.64

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Solution

The fourth proportional to 225,161.42, 310,725.05 and 123,184.64 is: 169,996.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,161.42 : 310,725.05 = 123,184.64 : x
  2. Step 2: Convert to fraction form
    225,161.42/310,725.05 = 123,184.64/x
  3. Step 3: Cross multiply
    225,161.42x = 310,725.05 × 123,184.64
  4. Step 4: Simplify right side
    225,161.42x = 38,276,553,584.12
  5. Step 5: Solve for x
    x = 38,276,553,584.12/225,161.42
  6. Step 6: Final answer
    x = 169,996.06

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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.