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Finding the Fourth Proportional to 81,174.58, 112,020.78 and 47,203

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Solution

The fourth proportional to 81,174.58, 112,020.78 and 47,203 is: 65,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,174.58 : 112,020.78 = 47,203 : x
  2. Step 2: Convert to fraction form
    81,174.58/112,020.78 = 47,203/x
  3. Step 3: Cross multiply
    81,174.58x = 112,020.78 × 47,203
  4. Step 4: Simplify right side
    81,174.58x = 5,287,716,878.34
  5. Step 5: Solve for x
    x = 5,287,716,878.34/81,174.58
  6. Step 6: Final answer
    x = 65,140.06

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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.