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Finding the Fourth Proportional to 225,395.64, 311,053.40 and 123,425.40

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Solution

The fourth proportional to 225,395.64, 311,053.40 and 123,425.40 is: 170,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,395.64 : 311,053.40 = 123,425.40 : x
  2. Step 2: Convert to fraction form
    225,395.64/311,053.40 = 123,425.40/x
  3. Step 3: Cross multiply
    225,395.64x = 311,053.40 × 123,425.40
  4. Step 4: Simplify right side
    225,395.64x = 38,391,890,316.36
  5. Step 5: Solve for x
    x = 38,391,890,316.36/225,395.64
  6. Step 6: Final answer
    x = 170,331.11

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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.