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Finding the Fourth Proportional to 74,579.90, 111,866.20 and 27,829.13

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Solution

The fourth proportional to 74,579.90, 111,866.20 and 27,829.13 is: 41,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,579.90 : 111,866.20 = 27,829.13 : x
  2. Step 2: Convert to fraction form
    74,579.90/111,866.20 = 27,829.13/x
  3. Step 3: Cross multiply
    74,579.90x = 111,866.20 × 27,829.13
  4. Step 4: Simplify right side
    74,579.90x = 3,113,138,393.50
  5. Step 5: Solve for x
    x = 3,113,138,393.50/74,579.90
  6. Step 6: Final answer
    x = 41,742.33

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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.