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Finding the Fourth Proportional to 225,447, 311,126.64 and 124,845

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Solution

The fourth proportional to 225,447, 311,126.64 and 124,845 is: 172,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,447 : 311,126.64 = 124,845 : x
  2. Step 2: Convert to fraction form
    225,447/311,126.64 = 124,845/x
  3. Step 3: Cross multiply
    225,447x = 311,126.64 × 124,845
  4. Step 4: Simplify right side
    225,447x = 38,842,605,370.80
  5. Step 5: Solve for x
    x = 38,842,605,370.80/225,447
  6. Step 6: Final answer
    x = 172,291.52

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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.