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Finding the Fourth Proportional to 225,513.86, 311,208.22 and 123,539.18

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Solution

The fourth proportional to 225,513.86, 311,208.22 and 123,539.18 is: 170,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,513.86 : 311,208.22 = 123,539.18 : x
  2. Step 2: Convert to fraction form
    225,513.86/311,208.22 = 123,539.18/x
  3. Step 3: Cross multiply
    225,513.86x = 311,208.22 × 123,539.18
  4. Step 4: Simplify right side
    225,513.86x = 38,446,408,777.23
  5. Step 5: Solve for x
    x = 38,446,408,777.23/225,513.86
  6. Step 6: Final answer
    x = 170,483.57

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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.