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Finding the Fourth Proportional to 75,111.78, 112,660.34 and 19,707.78

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Solution

The fourth proportional to 75,111.78, 112,660.34 and 19,707.78 is: 29,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,111.78 : 112,660.34 = 19,707.78 : x
  2. Step 2: Convert to fraction form
    75,111.78/112,660.34 = 19,707.78/x
  3. Step 3: Cross multiply
    75,111.78x = 112,660.34 × 19,707.78
  4. Step 4: Simplify right side
    75,111.78x = 2,220,285,195.45
  5. Step 5: Solve for x
    x = 2,220,285,195.45/75,111.78
  6. Step 6: Final answer
    x = 29,559.75

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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.