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Finding the Fourth Proportional to 225,575.96, 311,294.64 and 123,607.76

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Solution

The fourth proportional to 225,575.96, 311,294.64 and 123,607.76 is: 170,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,575.96 : 311,294.64 = 123,607.76 : x
  2. Step 2: Convert to fraction form
    225,575.96/311,294.64 = 123,607.76/x
  3. Step 3: Cross multiply
    225,575.96x = 311,294.64 × 123,607.76
  4. Step 4: Simplify right side
    225,575.96x = 38,478,431,593.93
  5. Step 5: Solve for x
    x = 38,478,431,593.93/225,575.96
  6. Step 6: Final answer
    x = 170,578.60

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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.