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Finding the Fourth Proportional to 225,486.25, 311,158.87 and 123,492.36

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Solution

The fourth proportional to 225,486.25, 311,158.87 and 123,492.36 is: 170,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,486.25 : 311,158.87 = 123,492.36 : x
  2. Step 2: Convert to fraction form
    225,486.25/311,158.87 = 123,492.36/x
  3. Step 3: Cross multiply
    225,486.25x = 311,158.87 × 123,492.36
  4. Step 4: Simplify right side
    225,486.25x = 38,425,744,049.35
  5. Step 5: Solve for x
    x = 38,425,744,049.35/225,486.25
  6. Step 6: Final answer
    x = 170,412.81

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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.