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Finding the Fourth Proportional to 225,884.52, 311,724.80 and 123,915.19

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Solution

The fourth proportional to 225,884.52, 311,724.80 and 123,915.19 is: 171,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,884.52 : 311,724.80 = 123,915.19 : x
  2. Step 2: Convert to fraction form
    225,884.52/311,724.80 = 123,915.19/x
  3. Step 3: Cross multiply
    225,884.52x = 311,724.80 × 123,915.19
  4. Step 4: Simplify right side
    225,884.52x = 38,627,439,043.74
  5. Step 5: Solve for x
    x = 38,627,439,043.74/225,884.52
  6. Step 6: Final answer
    x = 171,005.25

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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.