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Finding the Fourth Proportional to 225,853.88, 311,678.80 and 123,880.17

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Solution

The fourth proportional to 225,853.88, 311,678.80 and 123,880.17 is: 170,954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,853.88 : 311,678.80 = 123,880.17 : x
  2. Step 2: Convert to fraction form
    225,853.88/311,678.80 = 123,880.17/x
  3. Step 3: Cross multiply
    225,853.88x = 311,678.80 × 123,880.17
  4. Step 4: Simplify right side
    225,853.88x = 38,610,822,729.40
  5. Step 5: Solve for x
    x = 38,610,822,729.40/225,853.88
  6. Step 6: Final answer
    x = 170,954.88

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1.5x scale

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.