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Finding the Fourth Proportional to 275,111.13, 412,656.97 and 75,428.31

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Solution

The fourth proportional to 275,111.13, 412,656.97 and 75,428.31 is: 113,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,111.13 : 412,656.97 = 75,428.31 : x
  2. Step 2: Convert to fraction form
    275,111.13/412,656.97 = 75,428.31/x
  3. Step 3: Cross multiply
    275,111.13x = 412,656.97 × 75,428.31
  4. Step 4: Simplify right side
    275,111.13x = 31,126,017,856.82
  5. Step 5: Solve for x
    x = 31,126,017,856.82/275,111.13
  6. Step 6: Final answer
    x = 113,139.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.