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Finding the Fourth Proportional to 75,751.78, 104,538.18 and 41,761.51

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Solution

The fourth proportional to 75,751.78, 104,538.18 and 41,761.51 is: 57,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,751.78 : 104,538.18 = 41,761.51 : x
  2. Step 2: Convert to fraction form
    75,751.78/104,538.18 = 41,761.51/x
  3. Step 3: Cross multiply
    75,751.78x = 104,538.18 × 41,761.51
  4. Step 4: Simplify right side
    75,751.78x = 4,365,671,865.47
  5. Step 5: Solve for x
    x = 4,365,671,865.47/75,751.78
  6. Step 6: Final answer
    x = 57,631.28

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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.