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Finding the Fourth Proportional to 81,537.64, 122,324.82 and 28,947.04

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Solution

The fourth proportional to 81,537.64, 122,324.82 and 28,947.04 is: 43,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,537.64 : 122,324.82 = 28,947.04 : x
  2. Step 2: Convert to fraction form
    81,537.64/122,324.82 = 28,947.04/x
  3. Step 3: Cross multiply
    81,537.64x = 122,324.82 × 28,947.04
  4. Step 4: Simplify right side
    81,537.64x = 3,540,941,457.53
  5. Step 5: Solve for x
    x = 3,540,941,457.53/81,537.64
  6. Step 6: Final answer
    x = 43,427.08

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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.