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Finding the Fourth Proportional to 81,984.38, 113,138.82 and 46,175

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Solution

The fourth proportional to 81,984.38, 113,138.82 and 46,175 is: 63,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,984.38 : 113,138.82 = 46,175 : x
  2. Step 2: Convert to fraction form
    81,984.38/113,138.82 = 46,175/x
  3. Step 3: Cross multiply
    81,984.38x = 113,138.82 × 46,175
  4. Step 4: Simplify right side
    81,984.38x = 5,224,185,013.50
  5. Step 5: Solve for x
    x = 5,224,185,013.50/81,984.38
  6. Step 6: Final answer
    x = 63,721.71

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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.