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Finding the Fourth Proportional to 228,562.97, 315,419.22 and 137,901.42

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Solution

The fourth proportional to 228,562.97, 315,419.22 and 137,901.42 is: 190,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,562.97 : 315,419.22 = 137,901.42 : x
  2. Step 2: Convert to fraction form
    228,562.97/315,419.22 = 137,901.42/x
  3. Step 3: Cross multiply
    228,562.97x = 315,419.22 × 137,901.42
  4. Step 4: Simplify right side
    228,562.97x = 43,496,758,721.14
  5. Step 5: Solve for x
    x = 43,496,758,721.14/228,562.97
  6. Step 6: Final answer
    x = 190,305.36

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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.