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Finding the Fourth Proportional to 225,691.52, 311,399.16 and 135,007.76

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Solution

The fourth proportional to 225,691.52, 311,399.16 and 135,007.76 is: 186,277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,691.52 : 311,399.16 = 135,007.76 : x
  2. Step 2: Convert to fraction form
    225,691.52/311,399.16 = 135,007.76/x
  3. Step 3: Cross multiply
    225,691.52x = 311,399.16 × 135,007.76
  4. Step 4: Simplify right side
    225,691.52x = 42,041,303,057.48
  5. Step 5: Solve for x
    x = 42,041,303,057.48/225,691.52
  6. Step 6: Final answer
    x = 186,277.73

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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.