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Finding the Fourth Proportional to 81,201, 121,821.03 and 25,797

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Solution

The fourth proportional to 81,201, 121,821.03 and 25,797 is: 38,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,201 : 121,821.03 = 25,797 : x
  2. Step 2: Convert to fraction form
    81,201/121,821.03 = 25,797/x
  3. Step 3: Cross multiply
    81,201x = 121,821.03 × 25,797
  4. Step 4: Simplify right side
    81,201x = 3,142,617,110.91
  5. Step 5: Solve for x
    x = 3,142,617,110.91/81,201
  6. Step 6: Final answer
    x = 38,701.70

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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.