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Finding the Fourth Proportional to 225,447.50, 311,117.64 and 124,845.50

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Solution

The fourth proportional to 225,447.50, 311,117.64 and 124,845.50 is: 172,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,447.50 : 311,117.64 = 124,845.50 : x
  2. Step 2: Convert to fraction form
    225,447.50/311,117.64 = 124,845.50/x
  3. Step 3: Cross multiply
    225,447.50x = 311,117.64 × 124,845.50
  4. Step 4: Simplify right side
    225,447.50x = 38,841,637,324.62
  5. Step 5: Solve for x
    x = 38,841,637,324.62/225,447.50
  6. Step 6: Final answer
    x = 172,286.84

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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.