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Finding the Fourth Proportional to 81,000, 121,506.35 and 21,834.77

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Solution

The fourth proportional to 81,000, 121,506.35 and 21,834.77 is: 32,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,000 : 121,506.35 = 21,834.77 : x
  2. Step 2: Convert to fraction form
    81,000/121,506.35 = 21,834.77/x
  3. Step 3: Cross multiply
    81,000x = 121,506.35 × 21,834.77
  4. Step 4: Simplify right side
    81,000x = 2,653,062,489.08
  5. Step 5: Solve for x
    x = 2,653,062,489.08/81,000
  6. Step 6: Final answer
    x = 32,753.86

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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.