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Finding the Fourth Proportional to 54,868.50, 75,718.56 and 29,718

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Solution

The fourth proportional to 54,868.50, 75,718.56 and 29,718 is: 41,010.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,868.50 : 75,718.56 = 29,718 : x
  2. Step 2: Convert to fraction form
    54,868.50/75,718.56 = 29,718/x
  3. Step 3: Cross multiply
    54,868.50x = 75,718.56 × 29,718
  4. Step 4: Simplify right side
    54,868.50x = 2,250,204,166.08
  5. Step 5: Solve for x
    x = 2,250,204,166.08/54,868.50
  6. Step 6: Final answer
    x = 41,010.86

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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.